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Finding the Fourth Proportional to 48,947, 67,546.92 and 26,591

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Solution

The fourth proportional to 48,947, 67,546.92 and 26,591 is: 36,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947 : 67,546.92 = 26,591 : x
  2. Step 2: Convert to fraction form
    48,947/67,546.92 = 26,591/x
  3. Step 3: Cross multiply
    48,947x = 67,546.92 × 26,591
  4. Step 4: Simplify right side
    48,947x = 1,796,140,149.72
  5. Step 5: Solve for x
    x = 1,796,140,149.72/48,947
  6. Step 6: Final answer
    x = 36,695.61

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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.