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Finding the Fourth Proportional to 29,462.20, 40,657.16 and 16,033.50

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Solution

The fourth proportional to 29,462.20, 40,657.16 and 16,033.50 is: 22,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.20 : 40,657.16 = 16,033.50 : x
  2. Step 2: Convert to fraction form
    29,462.20/40,657.16 = 16,033.50/x
  3. Step 3: Cross multiply
    29,462.20x = 40,657.16 × 16,033.50
  4. Step 4: Simplify right side
    29,462.20x = 651,876,614.94
  5. Step 5: Solve for x
    x = 651,876,614.94/29,462.20
  6. Step 6: Final answer
    x = 22,125.87

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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.