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Finding the Fourth Proportional to 71,314.92, 106,829.36 and 33,911.04

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Solution

The fourth proportional to 71,314.92, 106,829.36 and 33,911.04 is: 50,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.92 : 106,829.36 = 33,911.04 : x
  2. Step 2: Convert to fraction form
    71,314.92/106,829.36 = 33,911.04/x
  3. Step 3: Cross multiply
    71,314.92x = 106,829.36 × 33,911.04
  4. Step 4: Simplify right side
    71,314.92x = 3,622,694,700.13
  5. Step 5: Solve for x
    x = 3,622,694,700.13/71,314.92
  6. Step 6: Final answer
    x = 50,798.55

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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.