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Finding the Fourth Proportional to 96,584.38, 133,287.48 and 54,142

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Solution

The fourth proportional to 96,584.38, 133,287.48 and 54,142 is: 74,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584.38 : 133,287.48 = 54,142 : x
  2. Step 2: Convert to fraction form
    96,584.38/133,287.48 = 54,142/x
  3. Step 3: Cross multiply
    96,584.38x = 133,287.48 × 54,142
  4. Step 4: Simplify right side
    96,584.38x = 7,216,450,742.16
  5. Step 5: Solve for x
    x = 7,216,450,742.16/96,584.38
  6. Step 6: Final answer
    x = 74,716.54

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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.