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Finding the Fourth Proportional to 31,708.60, 47,562.73 and 8,016.14

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Solution

The fourth proportional to 31,708.60, 47,562.73 and 8,016.14 is: 12,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.60 : 47,562.73 = 8,016.14 : x
  2. Step 2: Convert to fraction form
    31,708.60/47,562.73 = 8,016.14/x
  3. Step 3: Cross multiply
    31,708.60x = 47,562.73 × 8,016.14
  4. Step 4: Simplify right side
    31,708.60x = 381,269,501.38
  5. Step 5: Solve for x
    x = 381,269,501.38/31,708.60
  6. Step 6: Final answer
    x = 12,024.17

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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.