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Finding the Fourth Proportional to 38,198.48, 57,300.48 and 15,989.52

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Solution

The fourth proportional to 38,198.48, 57,300.48 and 15,989.52 is: 23,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.48 : 57,300.48 = 15,989.52 : x
  2. Step 2: Convert to fraction form
    38,198.48/57,300.48 = 15,989.52/x
  3. Step 3: Cross multiply
    38,198.48x = 57,300.48 × 15,989.52
  4. Step 4: Simplify right side
    38,198.48x = 916,207,170.97
  5. Step 5: Solve for x
    x = 916,207,170.97/38,198.48
  6. Step 6: Final answer
    x = 23,985.44

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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.