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Finding the Fourth Proportional to 32,038.74, 44,213.58 and 17,891.82

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Solution

The fourth proportional to 32,038.74, 44,213.58 and 17,891.82 is: 24,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.74 : 44,213.58 = 17,891.82 : x
  2. Step 2: Convert to fraction form
    32,038.74/44,213.58 = 17,891.82/x
  3. Step 3: Cross multiply
    32,038.74x = 44,213.58 × 17,891.82
  4. Step 4: Simplify right side
    32,038.74x = 791,061,414.92
  5. Step 5: Solve for x
    x = 791,061,414.92/32,038.74
  6. Step 6: Final answer
    x = 24,690.78

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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.