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Finding the Fourth Proportional to 107,589.84, 161,355.92 and 32,689.87

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Solution

The fourth proportional to 107,589.84, 161,355.92 and 32,689.87 is: 49,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,589.84 : 161,355.92 = 32,689.87 : x
  2. Step 2: Convert to fraction form
    107,589.84/161,355.92 = 32,689.87/x
  3. Step 3: Cross multiply
    107,589.84x = 161,355.92 × 32,689.87
  4. Step 4: Simplify right side
    107,589.84x = 5,274,704,048.53
  5. Step 5: Solve for x
    x = 5,274,704,048.53/107,589.84
  6. Step 6: Final answer
    x = 49,026.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.