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Finding the Fourth Proportional to 47,854.88, 71,815.19 and 16,690.13

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Solution

The fourth proportional to 47,854.88, 71,815.19 and 16,690.13 is: 25,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854.88 : 71,815.19 = 16,690.13 : x
  2. Step 2: Convert to fraction form
    47,854.88/71,815.19 = 16,690.13/x
  3. Step 3: Cross multiply
    47,854.88x = 71,815.19 × 16,690.13
  4. Step 4: Simplify right side
    47,854.88x = 1,198,604,414.55
  5. Step 5: Solve for x
    x = 1,198,604,414.55/47,854.88
  6. Step 6: Final answer
    x = 25,046.65

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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.