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Finding the Fourth Proportional to 83,485.92, 125,247.78 and 47,963.64

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Solution

The fourth proportional to 83,485.92, 125,247.78 and 47,963.64 is: 71,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.92 : 125,247.78 = 47,963.64 : x
  2. Step 2: Convert to fraction form
    83,485.92/125,247.78 = 47,963.64/x
  3. Step 3: Cross multiply
    83,485.92x = 125,247.78 × 47,963.64
  4. Step 4: Simplify right side
    83,485.92x = 6,007,339,430.72
  5. Step 5: Solve for x
    x = 6,007,339,430.72/83,485.92
  6. Step 6: Final answer
    x = 71,956.32

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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.