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Finding the Fourth Proportional to 82,442, 113,769.97 and 46,631.24

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Solution

The fourth proportional to 82,442, 113,769.97 and 46,631.24 is: 64,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,442 : 113,769.97 = 46,631.24 : x
  2. Step 2: Convert to fraction form
    82,442/113,769.97 = 46,631.24/x
  3. Step 3: Cross multiply
    82,442x = 113,769.97 × 46,631.24
  4. Step 4: Simplify right side
    82,442x = 5,305,234,775.86
  5. Step 5: Solve for x
    x = 5,305,234,775.86/82,442
  6. Step 6: Final answer
    x = 64,351.12

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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.