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Finding the Fourth Proportional to 71,734.55, 107,614.88 and 23,705.90

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Solution

The fourth proportional to 71,734.55, 107,614.88 and 23,705.90 is: 35,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734.55 : 107,614.88 = 23,705.90 : x
  2. Step 2: Convert to fraction form
    71,734.55/107,614.88 = 23,705.90/x
  3. Step 3: Cross multiply
    71,734.55x = 107,614.88 × 23,705.90
  4. Step 4: Simplify right side
    71,734.55x = 2,551,107,419.64
  5. Step 5: Solve for x
    x = 2,551,107,419.64/71,734.55
  6. Step 6: Final answer
    x = 35,563.16

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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.