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Finding the Fourth Proportional to 96,726.38, 133,495.44 and 54,287.24

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Solution

The fourth proportional to 96,726.38, 133,495.44 and 54,287.24 is: 74,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726.38 : 133,495.44 = 54,287.24 : x
  2. Step 2: Convert to fraction form
    96,726.38/133,495.44 = 54,287.24/x
  3. Step 3: Cross multiply
    96,726.38x = 133,495.44 × 54,287.24
  4. Step 4: Simplify right side
    96,726.38x = 7,247,098,990.19
  5. Step 5: Solve for x
    x = 7,247,098,990.19/96,726.38
  6. Step 6: Final answer
    x = 74,923.71

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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.