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Finding the Fourth Proportional to 85,842.38, 118,469.52 and 47,613.96

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Solution

The fourth proportional to 85,842.38, 118,469.52 and 47,613.96 is: 65,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.38 : 118,469.52 = 47,613.96 : x
  2. Step 2: Convert to fraction form
    85,842.38/118,469.52 = 47,613.96/x
  3. Step 3: Cross multiply
    85,842.38x = 118,469.52 × 47,613.96
  4. Step 4: Simplify right side
    85,842.38x = 5,640,802,986.50
  5. Step 5: Solve for x
    x = 5,640,802,986.50/85,842.38
  6. Step 6: Final answer
    x = 65,711.17

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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.