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Finding the Fourth Proportional to 29,431.91, 40,615.61 and 16,002.78

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Solution

The fourth proportional to 29,431.91, 40,615.61 and 16,002.78 is: 22,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.91 : 40,615.61 = 16,002.78 : x
  2. Step 2: Convert to fraction form
    29,431.91/40,615.61 = 16,002.78/x
  3. Step 3: Cross multiply
    29,431.91x = 40,615.61 × 16,002.78
  4. Step 4: Simplify right side
    29,431.91x = 649,962,591.38
  5. Step 5: Solve for x
    x = 649,962,591.38/29,431.91
  6. Step 6: Final answer
    x = 22,083.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.