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Finding the Fourth Proportional to 96,456.38, 133,109.87 and 54,015.89

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Solution

The fourth proportional to 96,456.38, 133,109.87 and 54,015.89 is: 74,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,456.38 : 133,109.87 = 54,015.89 : x
  2. Step 2: Convert to fraction form
    96,456.38/133,109.87 = 54,015.89/x
  3. Step 3: Cross multiply
    96,456.38x = 133,109.87 × 54,015.89
  4. Step 4: Simplify right side
    96,456.38x = 7,190,047,160.21
  5. Step 5: Solve for x
    x = 7,190,047,160.21/96,456.38
  6. Step 6: Final answer
    x = 74,541.96

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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.