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Finding the Fourth Proportional to 32,414.76, 44,732.30 and 17,510.76

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Solution

The fourth proportional to 32,414.76, 44,732.30 and 17,510.76 is: 24,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.76 : 44,732.30 = 17,510.76 : x
  2. Step 2: Convert to fraction form
    32,414.76/44,732.30 = 17,510.76/x
  3. Step 3: Cross multiply
    32,414.76x = 44,732.30 × 17,510.76
  4. Step 4: Simplify right side
    32,414.76x = 783,296,481.99
  5. Step 5: Solve for x
    x = 783,296,481.99/32,414.76
  6. Step 6: Final answer
    x = 24,164.81

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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.