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Finding the Fourth Proportional to 27,200.82, 40,793.03 and 10,557.15

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Solution

The fourth proportional to 27,200.82, 40,793.03 and 10,557.15 is: 15,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.82 : 40,793.03 = 10,557.15 : x
  2. Step 2: Convert to fraction form
    27,200.82/40,793.03 = 10,557.15/x
  3. Step 3: Cross multiply
    27,200.82x = 40,793.03 × 10,557.15
  4. Step 4: Simplify right side
    27,200.82x = 430,658,136.66
  5. Step 5: Solve for x
    x = 430,658,136.66/27,200.82
  6. Step 6: Final answer
    x = 15,832.54

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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.