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Finding the Fourth Proportional to 31,812.81, 47,691.84 and 13,081.14

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Solution

The fourth proportional to 31,812.81, 47,691.84 and 13,081.14 is: 19,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.81 : 47,691.84 = 13,081.14 : x
  2. Step 2: Convert to fraction form
    31,812.81/47,691.84 = 13,081.14/x
  3. Step 3: Cross multiply
    31,812.81x = 47,691.84 × 13,081.14
  4. Step 4: Simplify right side
    31,812.81x = 623,863,635.90
  5. Step 5: Solve for x
    x = 623,863,635.90/31,812.81
  6. Step 6: Final answer
    x = 19,610.45

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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.