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Finding the Fourth Proportional to 71,412.48, 107,130.87 and 24,654.42

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Solution

The fourth proportional to 71,412.48, 107,130.87 and 24,654.42 is: 36,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412.48 : 107,130.87 = 24,654.42 : x
  2. Step 2: Convert to fraction form
    71,412.48/107,130.87 = 24,654.42/x
  3. Step 3: Cross multiply
    71,412.48x = 107,130.87 × 24,654.42
  4. Step 4: Simplify right side
    71,412.48x = 2,641,249,463.95
  5. Step 5: Solve for x
    x = 2,641,249,463.95/71,412.48
  6. Step 6: Final answer
    x = 36,985.82

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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.