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Finding the Fourth Proportional to 48,543.60, 72,847.80 and 22,234.80

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Solution

The fourth proportional to 48,543.60, 72,847.80 and 22,234.80 is: 33,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,543.60 : 72,847.80 = 22,234.80 : x
  2. Step 2: Convert to fraction form
    48,543.60/72,847.80 = 22,234.80/x
  3. Step 3: Cross multiply
    48,543.60x = 72,847.80 × 22,234.80
  4. Step 4: Simplify right side
    48,543.60x = 1,619,756,263.44
  5. Step 5: Solve for x
    x = 1,619,756,263.44/48,543.60
  6. Step 6: Final answer
    x = 33,367.04

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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.