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Finding the Fourth Proportional to 47,674.52, 71,531.22 and 38,401.64

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Solution

The fourth proportional to 47,674.52, 71,531.22 and 38,401.64 is: 57,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674.52 : 71,531.22 = 38,401.64 : x
  2. Step 2: Convert to fraction form
    47,674.52/71,531.22 = 38,401.64/x
  3. Step 3: Cross multiply
    47,674.52x = 71,531.22 × 38,401.64
  4. Step 4: Simplify right side
    47,674.52x = 2,746,916,159.20
  5. Step 5: Solve for x
    x = 2,746,916,159.20/47,674.52
  6. Step 6: Final answer
    x = 57,618.12

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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.