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Finding the Fourth Proportional to 81,117.30, 111,945.06 and 47,125.38

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Solution

The fourth proportional to 81,117.30, 111,945.06 and 47,125.38 is: 65,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,117.30 : 111,945.06 = 47,125.38 : x
  2. Step 2: Convert to fraction form
    81,117.30/111,945.06 = 47,125.38/x
  3. Step 3: Cross multiply
    81,117.30x = 111,945.06 × 47,125.38
  4. Step 4: Simplify right side
    81,117.30x = 5,275,453,491.62
  5. Step 5: Solve for x
    x = 5,275,453,491.62/81,117.30
  6. Step 6: Final answer
    x = 65,034.88

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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.