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Finding the Fourth Proportional to 31,801.50, 43,886.16 and 17,654.34

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Solution

The fourth proportional to 31,801.50, 43,886.16 and 17,654.34 is: 24,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.50 : 43,886.16 = 17,654.34 : x
  2. Step 2: Convert to fraction form
    31,801.50/43,886.16 = 17,654.34/x
  3. Step 3: Cross multiply
    31,801.50x = 43,886.16 × 17,654.34
  4. Step 4: Simplify right side
    31,801.50x = 774,781,189.93
  5. Step 5: Solve for x
    x = 774,781,189.93/31,801.50
  6. Step 6: Final answer
    x = 24,363.04

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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.