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Finding the Fourth Proportional to 48,793.20, 73,202 and 22,516.32

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Solution

The fourth proportional to 48,793.20, 73,202 and 22,516.32 is: 33,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,793.20 : 73,202 = 22,516.32 : x
  2. Step 2: Convert to fraction form
    48,793.20/73,202 = 22,516.32/x
  3. Step 3: Cross multiply
    48,793.20x = 73,202 × 22,516.32
  4. Step 4: Simplify right side
    48,793.20x = 1,648,239,656.64
  5. Step 5: Solve for x
    x = 1,648,239,656.64/48,793.20
  6. Step 6: Final answer
    x = 33,780.11

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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.