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Finding the Fourth Proportional to 31,171.32, 43,017.54 and 17,024.76

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Solution

The fourth proportional to 31,171.32, 43,017.54 and 17,024.76 is: 23,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.32 : 43,017.54 = 17,024.76 : x
  2. Step 2: Convert to fraction form
    31,171.32/43,017.54 = 17,024.76/x
  3. Step 3: Cross multiply
    31,171.32x = 43,017.54 × 17,024.76
  4. Step 4: Simplify right side
    31,171.32x = 732,363,294.29
  5. Step 5: Solve for x
    x = 732,363,294.29/31,171.32
  6. Step 6: Final answer
    x = 23,494.78

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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.