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Finding the Fourth Proportional to 71,711.74, 107,584.22 and 24,324.31

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Solution

The fourth proportional to 71,711.74, 107,584.22 and 24,324.31 is: 36,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.74 : 107,584.22 = 24,324.31 : x
  2. Step 2: Convert to fraction form
    71,711.74/107,584.22 = 24,324.31/x
  3. Step 3: Cross multiply
    71,711.74x = 107,584.22 × 24,324.31
  4. Step 4: Simplify right side
    71,711.74x = 2,616,911,918.39
  5. Step 5: Solve for x
    x = 2,616,911,918.39/71,711.74
  6. Step 6: Final answer
    x = 36,492.10

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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.