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Finding the Fourth Proportional to 83,947.40, 125,921.10 and 48,469.40

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Solution

The fourth proportional to 83,947.40, 125,921.10 and 48,469.40 is: 72,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,947.40 : 125,921.10 = 48,469.40 : x
  2. Step 2: Convert to fraction form
    83,947.40/125,921.10 = 48,469.40/x
  3. Step 3: Cross multiply
    83,947.40x = 125,921.10 × 48,469.40
  4. Step 4: Simplify right side
    83,947.40x = 6,103,320,164.34
  5. Step 5: Solve for x
    x = 6,103,320,164.34/83,947.40
  6. Step 6: Final answer
    x = 72,704.10

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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.