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Finding the Fourth Proportional to 84,137.16, 116,109.90 and 46,412.76

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Solution

The fourth proportional to 84,137.16, 116,109.90 and 46,412.76 is: 64,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,137.16 : 116,109.90 = 46,412.76 : x
  2. Step 2: Convert to fraction form
    84,137.16/116,109.90 = 46,412.76/x
  3. Step 3: Cross multiply
    84,137.16x = 116,109.90 × 46,412.76
  4. Step 4: Simplify right side
    84,137.16x = 5,388,980,922.32
  5. Step 5: Solve for x
    x = 5,388,980,922.32/84,137.16
  6. Step 6: Final answer
    x = 64,049.95

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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.