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Finding the Fourth Proportional to 31,381.76, 47,078.72 and 10,606.72

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Solution

The fourth proportional to 31,381.76, 47,078.72 and 10,606.72 is: 15,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.76 : 47,078.72 = 10,606.72 : x
  2. Step 2: Convert to fraction form
    31,381.76/47,078.72 = 10,606.72/x
  3. Step 3: Cross multiply
    31,381.76x = 47,078.72 × 10,606.72
  4. Step 4: Simplify right side
    31,381.76x = 499,350,801.00
  5. Step 5: Solve for x
    x = 499,350,801.00/31,381.76
  6. Step 6: Final answer
    x = 15,912.13

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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.