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Finding the Fourth Proportional to 32,016.89, 44,182.49 and 17,677.78

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Solution

The fourth proportional to 32,016.89, 44,182.49 and 17,677.78 is: 24,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.89 : 44,182.49 = 17,677.78 : x
  2. Step 2: Convert to fraction form
    32,016.89/44,182.49 = 17,677.78/x
  3. Step 3: Cross multiply
    32,016.89x = 44,182.49 × 17,677.78
  4. Step 4: Simplify right side
    32,016.89x = 781,048,139.23
  5. Step 5: Solve for x
    x = 781,048,139.23/32,016.89
  6. Step 6: Final answer
    x = 24,394.88

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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.