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Finding the Fourth Proportional to 36,702.60, 50,621.40 and 24,747

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Solution

The fourth proportional to 36,702.60, 50,621.40 and 24,747 is: 34,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702.60 : 50,621.40 = 24,747 : x
  2. Step 2: Convert to fraction form
    36,702.60/50,621.40 = 24,747/x
  3. Step 3: Cross multiply
    36,702.60x = 50,621.40 × 24,747
  4. Step 4: Simplify right side
    36,702.60x = 1,252,727,785.80
  5. Step 5: Solve for x
    x = 1,252,727,785.80/36,702.60
  6. Step 6: Final answer
    x = 34,131.85

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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.