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Finding the Fourth Proportional to 32,177.71, 44,407.30 and 17,838.14

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Solution

The fourth proportional to 32,177.71, 44,407.30 and 17,838.14 is: 24,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.71 : 44,407.30 = 17,838.14 : x
  2. Step 2: Convert to fraction form
    32,177.71/44,407.30 = 17,838.14/x
  3. Step 3: Cross multiply
    32,177.71x = 44,407.30 × 17,838.14
  4. Step 4: Simplify right side
    32,177.71x = 792,143,634.42
  5. Step 5: Solve for x
    x = 792,143,634.42/32,177.71
  6. Step 6: Final answer
    x = 24,617.78

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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.