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Finding the Fourth Proportional to 108,409.68, 162,614.52 and 29,524.32

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Solution

The fourth proportional to 108,409.68, 162,614.52 and 29,524.32 is: 44,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,409.68 : 162,614.52 = 29,524.32 : x
  2. Step 2: Convert to fraction form
    108,409.68/162,614.52 = 29,524.32/x
  3. Step 3: Cross multiply
    108,409.68x = 162,614.52 × 29,524.32
  4. Step 4: Simplify right side
    108,409.68x = 4,801,083,125.13
  5. Step 5: Solve for x
    x = 4,801,083,125.13/108,409.68
  6. Step 6: Final answer
    x = 44,286.48

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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.