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Finding the Fourth Proportional to 96,514.80, 133,194.07 and 54,071.88

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Solution

The fourth proportional to 96,514.80, 133,194.07 and 54,071.88 is: 74,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514.80 : 133,194.07 = 54,071.88 : x
  2. Step 2: Convert to fraction form
    96,514.80/133,194.07 = 54,071.88/x
  3. Step 3: Cross multiply
    96,514.80x = 133,194.07 × 54,071.88
  4. Step 4: Simplify right side
    96,514.80x = 7,202,053,769.75
  5. Step 5: Solve for x
    x = 7,202,053,769.75/96,514.80
  6. Step 6: Final answer
    x = 74,621.24

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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.