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Finding the Fourth Proportional to 32,254.96, 44,532.84 and 19,687

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Solution

The fourth proportional to 32,254.96, 44,532.84 and 19,687 is: 27,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.96 : 44,532.84 = 19,687 : x
  2. Step 2: Convert to fraction form
    32,254.96/44,532.84 = 19,687/x
  3. Step 3: Cross multiply
    32,254.96x = 44,532.84 × 19,687
  4. Step 4: Simplify right side
    32,254.96x = 876,718,021.08
  5. Step 5: Solve for x
    x = 876,718,021.08/32,254.96
  6. Step 6: Final answer
    x = 27,180.87

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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.