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Finding the Fourth Proportional to 29,541.38, 40,765.86 and 16,112.39

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Solution

The fourth proportional to 29,541.38, 40,765.86 and 16,112.39 is: 22,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.38 : 40,765.86 = 16,112.39 : x
  2. Step 2: Convert to fraction form
    29,541.38/40,765.86 = 16,112.39/x
  3. Step 3: Cross multiply
    29,541.38x = 40,765.86 × 16,112.39
  4. Step 4: Simplify right side
    29,541.38x = 656,835,435.01
  5. Step 5: Solve for x
    x = 656,835,435.01/29,541.38
  6. Step 6: Final answer
    x = 22,234.42

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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.