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Finding the Fourth Proportional to 85,680.54, 118,239.12 and 47,954.79

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Solution

The fourth proportional to 85,680.54, 118,239.12 and 47,954.79 is: 66,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680.54 : 118,239.12 = 47,954.79 : x
  2. Step 2: Convert to fraction form
    85,680.54/118,239.12 = 47,954.79/x
  3. Step 3: Cross multiply
    85,680.54x = 118,239.12 × 47,954.79
  4. Step 4: Simplify right side
    85,680.54x = 5,670,132,169.38
  5. Step 5: Solve for x
    x = 5,670,132,169.38/85,680.54
  6. Step 6: Final answer
    x = 66,177.60

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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.