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Finding the Fourth Proportional to 31,801.62, 43,886.76 and 17,462.76

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Solution

The fourth proportional to 31,801.62, 43,886.76 and 17,462.76 is: 24,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.62 : 43,886.76 = 17,462.76 : x
  2. Step 2: Convert to fraction form
    31,801.62/43,886.76 = 17,462.76/x
  3. Step 3: Cross multiply
    31,801.62x = 43,886.76 × 17,462.76
  4. Step 4: Simplify right side
    31,801.62x = 766,383,957.06
  5. Step 5: Solve for x
    x = 766,383,957.06/31,801.62
  6. Step 6: Final answer
    x = 24,098.90

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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.