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Finding the Fourth Proportional to 31,864.76, 47,791.72 and 9,672.80

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Solution

The fourth proportional to 31,864.76, 47,791.72 and 9,672.80 is: 14,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.76 : 47,791.72 = 9,672.80 : x
  2. Step 2: Convert to fraction form
    31,864.76/47,791.72 = 9,672.80/x
  3. Step 3: Cross multiply
    31,864.76x = 47,791.72 × 9,672.80
  4. Step 4: Simplify right side
    31,864.76x = 462,279,749.22
  5. Step 5: Solve for x
    x = 462,279,749.22/31,864.76
  6. Step 6: Final answer
    x = 14,507.55

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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.