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Finding the Fourth Proportional to 84,059.84, 115,998 and 46,331.12

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Solution

The fourth proportional to 84,059.84, 115,998 and 46,331.12 is: 63,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,059.84 : 115,998 = 46,331.12 : x
  2. Step 2: Convert to fraction form
    84,059.84/115,998 = 46,331.12/x
  3. Step 3: Cross multiply
    84,059.84x = 115,998 × 46,331.12
  4. Step 4: Simplify right side
    84,059.84x = 5,374,317,257.76
  5. Step 5: Solve for x
    x = 5,374,317,257.76/84,059.84
  6. Step 6: Final answer
    x = 63,934.42

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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.