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Finding the Fourth Proportional to 71,132.97, 106,752.11 and 33,693.14

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Solution

The fourth proportional to 71,132.97, 106,752.11 and 33,693.14 is: 50,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.97 : 106,752.11 = 33,693.14 : x
  2. Step 2: Convert to fraction form
    71,132.97/106,752.11 = 33,693.14/x
  3. Step 3: Cross multiply
    71,132.97x = 106,752.11 × 33,693.14
  4. Step 4: Simplify right side
    71,132.97x = 3,596,813,085.30
  5. Step 5: Solve for x
    x = 3,596,813,085.30/71,132.97
  6. Step 6: Final answer
    x = 50,564.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.