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Finding the Fourth Proportional to 38,000.20, 57,000.30 and 10,298.20

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Solution

The fourth proportional to 38,000.20, 57,000.30 and 10,298.20 is: 15,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.20 : 57,000.30 = 10,298.20 : x
  2. Step 2: Convert to fraction form
    38,000.20/57,000.30 = 10,298.20/x
  3. Step 3: Cross multiply
    38,000.20x = 57,000.30 × 10,298.20
  4. Step 4: Simplify right side
    38,000.20x = 587,000,489.46
  5. Step 5: Solve for x
    x = 587,000,489.46/38,000.20
  6. Step 6: Final answer
    x = 15,447.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.