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Finding the Fourth Proportional to 107,712.10, 161,591.43 and 32,830.30

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Solution

The fourth proportional to 107,712.10, 161,591.43 and 32,830.30 is: 49,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712.10 : 161,591.43 = 32,830.30 : x
  2. Step 2: Convert to fraction form
    107,712.10/161,591.43 = 32,830.30/x
  3. Step 3: Cross multiply
    107,712.10x = 161,591.43 × 32,830.30
  4. Step 4: Simplify right side
    107,712.10x = 5,305,095,124.33
  5. Step 5: Solve for x
    x = 5,305,095,124.33/107,712.10
  6. Step 6: Final answer
    x = 49,252.55

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