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Finding the Fourth Proportional to 77,642.73, 116,491.43 and 38,227.52

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Solution

The fourth proportional to 77,642.73, 116,491.43 and 38,227.52 is: 57,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.73 : 116,491.43 = 38,227.52 : x
  2. Step 2: Convert to fraction form
    77,642.73/116,491.43 = 38,227.52/x
  3. Step 3: Cross multiply
    77,642.73x = 116,491.43 × 38,227.52
  4. Step 4: Simplify right side
    77,642.73x = 4,453,177,696.56
  5. Step 5: Solve for x
    x = 4,453,177,696.56/77,642.73
  6. Step 6: Final answer
    x = 57,354.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.