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Finding the Fourth Proportional to 29,378.72, 40,542.50 and 15,949.86

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Solution

The fourth proportional to 29,378.72, 40,542.50 and 15,949.86 is: 22,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378.72 : 40,542.50 = 15,949.86 : x
  2. Step 2: Convert to fraction form
    29,378.72/40,542.50 = 15,949.86/x
  3. Step 3: Cross multiply
    29,378.72x = 40,542.50 × 15,949.86
  4. Step 4: Simplify right side
    29,378.72x = 646,647,199.05
  5. Step 5: Solve for x
    x = 646,647,199.05/29,378.72
  6. Step 6: Final answer
    x = 22,010.73

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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.