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Finding the Fourth Proportional to 31,601.92, 43,605.12 and 23,238.40

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Solution

The fourth proportional to 31,601.92, 43,605.12 and 23,238.40 is: 32,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.92 : 43,605.12 = 23,238.40 : x
  2. Step 2: Convert to fraction form
    31,601.92/43,605.12 = 23,238.40/x
  3. Step 3: Cross multiply
    31,601.92x = 43,605.12 × 23,238.40
  4. Step 4: Simplify right side
    31,601.92x = 1,013,313,220.61
  5. Step 5: Solve for x
    x = 1,013,313,220.61/31,601.92
  6. Step 6: Final answer
    x = 32,064.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.