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Finding the Fourth Proportional to 38,149.50, 57,240 and 20,598.66

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Solution

The fourth proportional to 38,149.50, 57,240 and 20,598.66 is: 30,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.50 : 57,240 = 20,598.66 : x
  2. Step 2: Convert to fraction form
    38,149.50/57,240 = 20,598.66/x
  3. Step 3: Cross multiply
    38,149.50x = 57,240 × 20,598.66
  4. Step 4: Simplify right side
    38,149.50x = 1,179,067,298.40
  5. Step 5: Solve for x
    x = 1,179,067,298.40/38,149.50
  6. Step 6: Final answer
    x = 30,906.49

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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.