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Finding the Fourth Proportional to 31,654.62, 47,482.17 and 17,635.98

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Solution

The fourth proportional to 31,654.62, 47,482.17 and 17,635.98 is: 26,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.62 : 47,482.17 = 17,635.98 : x
  2. Step 2: Convert to fraction form
    31,654.62/47,482.17 = 17,635.98/x
  3. Step 3: Cross multiply
    31,654.62x = 47,482.17 × 17,635.98
  4. Step 4: Simplify right side
    31,654.62x = 837,394,600.48
  5. Step 5: Solve for x
    x = 837,394,600.48/31,654.62
  6. Step 6: Final answer
    x = 26,454.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.