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Finding the Fourth Proportional to 71,565.54, 107,412.39 and 52,614.06

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Solution

The fourth proportional to 71,565.54, 107,412.39 and 52,614.06 is: 78,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.54 : 107,412.39 = 52,614.06 : x
  2. Step 2: Convert to fraction form
    71,565.54/107,412.39 = 52,614.06/x
  3. Step 3: Cross multiply
    71,565.54x = 107,412.39 × 52,614.06
  4. Step 4: Simplify right side
    71,565.54x = 5,651,401,932.20
  5. Step 5: Solve for x
    x = 5,651,401,932.20/71,565.54
  6. Step 6: Final answer
    x = 78,968.20

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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.