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Finding the Fourth Proportional to 47,675.52, 71,532.72 and 38,402.64

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Solution

The fourth proportional to 47,675.52, 71,532.72 and 38,402.64 is: 57,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675.52 : 71,532.72 = 38,402.64 : x
  2. Step 2: Convert to fraction form
    47,675.52/71,532.72 = 38,402.64/x
  3. Step 3: Cross multiply
    47,675.52x = 71,532.72 × 38,402.64
  4. Step 4: Simplify right side
    47,675.52x = 2,747,045,294.38
  5. Step 5: Solve for x
    x = 2,747,045,294.38/47,675.52
  6. Step 6: Final answer
    x = 57,619.62

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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.