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Finding the Fourth Proportional to 57,963.60, 86,945.40 and 48,778.20

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Solution

The fourth proportional to 57,963.60, 86,945.40 and 48,778.20 is: 73,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963.60 : 86,945.40 = 48,778.20 : x
  2. Step 2: Convert to fraction form
    57,963.60/86,945.40 = 48,778.20/x
  3. Step 3: Cross multiply
    57,963.60x = 86,945.40 × 48,778.20
  4. Step 4: Simplify right side
    57,963.60x = 4,241,040,110.28
  5. Step 5: Solve for x
    x = 4,241,040,110.28/57,963.60
  6. Step 6: Final answer
    x = 73,167.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.