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Finding the Fourth Proportional to 31,657.24, 47,488.11 and 9,468.82

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Solution

The fourth proportional to 31,657.24, 47,488.11 and 9,468.82 is: 14,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.24 : 47,488.11 = 9,468.82 : x
  2. Step 2: Convert to fraction form
    31,657.24/47,488.11 = 9,468.82/x
  3. Step 3: Cross multiply
    31,657.24x = 47,488.11 × 9,468.82
  4. Step 4: Simplify right side
    31,657.24x = 449,656,365.73
  5. Step 5: Solve for x
    x = 449,656,365.73/31,657.24
  6. Step 6: Final answer
    x = 14,203.90

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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.