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Finding the Fourth Proportional to 32,091.31, 44,288.05 and 17,944.15

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Solution

The fourth proportional to 32,091.31, 44,288.05 and 17,944.15 is: 24,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.31 : 44,288.05 = 17,944.15 : x
  2. Step 2: Convert to fraction form
    32,091.31/44,288.05 = 17,944.15/x
  3. Step 3: Cross multiply
    32,091.31x = 44,288.05 × 17,944.15
  4. Step 4: Simplify right side
    32,091.31x = 794,711,256.83
  5. Step 5: Solve for x
    x = 794,711,256.83/32,091.31
  6. Step 6: Final answer
    x = 24,764.07

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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.