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Finding the Fourth Proportional to 32,229.38, 48,342.12 and 19,164.90

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Solution

The fourth proportional to 32,229.38, 48,342.12 and 19,164.90 is: 28,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.38 : 48,342.12 = 19,164.90 : x
  2. Step 2: Convert to fraction form
    32,229.38/48,342.12 = 19,164.90/x
  3. Step 3: Cross multiply
    32,229.38x = 48,342.12 × 19,164.90
  4. Step 4: Simplify right side
    32,229.38x = 926,471,895.59
  5. Step 5: Solve for x
    x = 926,471,895.59/32,229.38
  6. Step 6: Final answer
    x = 28,746.19

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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.