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Finding the Fourth Proportional to 71,381.86, 107,089.81 and 24,635.14

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Solution

The fourth proportional to 71,381.86, 107,089.81 and 24,635.14 is: 36,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381.86 : 107,089.81 = 24,635.14 : x
  2. Step 2: Convert to fraction form
    71,381.86/107,089.81 = 24,635.14/x
  3. Step 3: Cross multiply
    71,381.86x = 107,089.81 × 24,635.14
  4. Step 4: Simplify right side
    71,381.86x = 2,638,172,461.92
  5. Step 5: Solve for x
    x = 2,638,172,461.92/71,381.86
  6. Step 6: Final answer
    x = 36,958.58

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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.