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Finding the Fourth Proportional to 31,773.24, 47,657.88 and 10,712.40

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Solution

The fourth proportional to 31,773.24, 47,657.88 and 10,712.40 is: 16,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.24 : 47,657.88 = 10,712.40 : x
  2. Step 2: Convert to fraction form
    31,773.24/47,657.88 = 10,712.40/x
  3. Step 3: Cross multiply
    31,773.24x = 47,657.88 × 10,712.40
  4. Step 4: Simplify right side
    31,773.24x = 510,530,273.71
  5. Step 5: Solve for x
    x = 510,530,273.71/31,773.24
  6. Step 6: Final answer
    x = 16,067.93

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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.