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Finding the Fourth Proportional to 38,149.80, 57,233.40 and 11,857.20

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Solution

The fourth proportional to 38,149.80, 57,233.40 and 11,857.20 is: 17,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.80 : 57,233.40 = 11,857.20 : x
  2. Step 2: Convert to fraction form
    38,149.80/57,233.40 = 11,857.20/x
  3. Step 3: Cross multiply
    38,149.80x = 57,233.40 × 11,857.20
  4. Step 4: Simplify right side
    38,149.80x = 678,627,870.48
  5. Step 5: Solve for x
    x = 678,627,870.48/38,149.80
  6. Step 6: Final answer
    x = 17,788.50

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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.