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Finding the Fourth Proportional to 52,324.50, 72,191.85 and 29,659.86

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Solution

The fourth proportional to 52,324.50, 72,191.85 and 29,659.86 is: 40,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,324.50 : 72,191.85 = 29,659.86 : x
  2. Step 2: Convert to fraction form
    52,324.50/72,191.85 = 29,659.86/x
  3. Step 3: Cross multiply
    52,324.50x = 72,191.85 × 29,659.86
  4. Step 4: Simplify right side
    52,324.50x = 2,141,200,164.14
  5. Step 5: Solve for x
    x = 2,141,200,164.14/52,324.50
  6. Step 6: Final answer
    x = 40,921.56

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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.