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Finding the Fourth Proportional to 71,898.46, 107,814.64 and 24,494.26

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Solution

The fourth proportional to 71,898.46, 107,814.64 and 24,494.26 is: 36,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898.46 : 107,814.64 = 24,494.26 : x
  2. Step 2: Convert to fraction form
    71,898.46/107,814.64 = 24,494.26/x
  3. Step 3: Cross multiply
    71,898.46x = 107,814.64 × 24,494.26
  4. Step 4: Simplify right side
    71,898.46x = 2,640,839,823.97
  5. Step 5: Solve for x
    x = 2,640,839,823.97/71,898.46
  6. Step 6: Final answer
    x = 36,730.13

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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.