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Finding the Fourth Proportional to 48,481.48, 72,723.12 and 15,200.80

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Solution

The fourth proportional to 48,481.48, 72,723.12 and 15,200.80 is: 22,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481.48 : 72,723.12 = 15,200.80 : x
  2. Step 2: Convert to fraction form
    48,481.48/72,723.12 = 15,200.80/x
  3. Step 3: Cross multiply
    48,481.48x = 72,723.12 × 15,200.80
  4. Step 4: Simplify right side
    48,481.48x = 1,105,449,602.50
  5. Step 5: Solve for x
    x = 1,105,449,602.50/48,481.48
  6. Step 6: Final answer
    x = 22,801.48

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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.