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Finding the Fourth Proportional to 84,441, 116,518.48 and 46,710.12

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Solution

The fourth proportional to 84,441, 116,518.48 and 46,710.12 is: 64,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,441 : 116,518.48 = 46,710.12 : x
  2. Step 2: Convert to fraction form
    84,441/116,518.48 = 46,710.12/x
  3. Step 3: Cross multiply
    84,441x = 116,518.48 × 46,710.12
  4. Step 4: Simplify right side
    84,441x = 5,442,592,183.02
  5. Step 5: Solve for x
    x = 5,442,592,183.02/84,441
  6. Step 6: Final answer
    x = 64,454.38

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Double scale
Find fourth proportional to 84,442, 116,519.86 and 46,711.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.