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Finding the Fourth Proportional to 96,830.13, 133,629.03 and 54,387.75

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Solution

The fourth proportional to 96,830.13, 133,629.03 and 54,387.75 is: 75,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,830.13 : 133,629.03 = 54,387.75 : x
  2. Step 2: Convert to fraction form
    96,830.13/133,629.03 = 54,387.75/x
  3. Step 3: Cross multiply
    96,830.13x = 133,629.03 × 54,387.75
  4. Step 4: Simplify right side
    96,830.13x = 7,267,782,276.38
  5. Step 5: Solve for x
    x = 7,267,782,276.38/96,830.13
  6. Step 6: Final answer
    x = 75,057.03

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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.