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Finding the Fourth Proportional to 31,591, 43,593.52 and 17,443.72

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Solution

The fourth proportional to 31,591, 43,593.52 and 17,443.72 is: 24,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591 : 43,593.52 = 17,443.72 : x
  2. Step 2: Convert to fraction form
    31,591/43,593.52 = 17,443.72/x
  3. Step 3: Cross multiply
    31,591x = 43,593.52 × 17,443.72
  4. Step 4: Simplify right side
    31,591x = 760,433,156.69
  5. Step 5: Solve for x
    x = 760,433,156.69/31,591
  6. Step 6: Final answer
    x = 24,071.20

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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.