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Finding the Fourth Proportional to 48,591.60, 72,919.80 and 22,282.80

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Solution

The fourth proportional to 48,591.60, 72,919.80 and 22,282.80 is: 33,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,591.60 : 72,919.80 = 22,282.80 : x
  2. Step 2: Convert to fraction form
    48,591.60/72,919.80 = 22,282.80/x
  3. Step 3: Cross multiply
    48,591.60x = 72,919.80 × 22,282.80
  4. Step 4: Simplify right side
    48,591.60x = 1,624,857,319.44
  5. Step 5: Solve for x
    x = 1,624,857,319.44/48,591.60
  6. Step 6: Final answer
    x = 33,439.06

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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.