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Finding the Fourth Proportional to 31,886.96, 44,006.89 and 17,549.66

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Solution

The fourth proportional to 31,886.96, 44,006.89 and 17,549.66 is: 24,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.96 : 44,006.89 = 17,549.66 : x
  2. Step 2: Convert to fraction form
    31,886.96/44,006.89 = 17,549.66/x
  3. Step 3: Cross multiply
    31,886.96x = 44,006.89 × 17,549.66
  4. Step 4: Simplify right side
    31,886.96x = 772,306,023.30
  5. Step 5: Solve for x
    x = 772,306,023.30/31,886.96
  6. Step 6: Final answer
    x = 24,220.12

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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.