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Finding the Fourth Proportional to 71,535.96, 107,302.68 and 24,788.16

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Solution

The fourth proportional to 71,535.96, 107,302.68 and 24,788.16 is: 37,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,535.96 : 107,302.68 = 24,788.16 : x
  2. Step 2: Convert to fraction form
    71,535.96/107,302.68 = 24,788.16/x
  3. Step 3: Cross multiply
    71,535.96x = 107,302.68 × 24,788.16
  4. Step 4: Simplify right side
    71,535.96x = 2,659,836,000.27
  5. Step 5: Solve for x
    x = 2,659,836,000.27/71,535.96
  6. Step 6: Final answer
    x = 37,181.80

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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.