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Finding the Fourth Proportional to 38,462.20, 57,693.30 and 20,966.20

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Solution

The fourth proportional to 38,462.20, 57,693.30 and 20,966.20 is: 31,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.20 : 57,693.30 = 20,966.20 : x
  2. Step 2: Convert to fraction form
    38,462.20/57,693.30 = 20,966.20/x
  3. Step 3: Cross multiply
    38,462.20x = 57,693.30 × 20,966.20
  4. Step 4: Simplify right side
    38,462.20x = 1,209,609,266.46
  5. Step 5: Solve for x
    x = 1,209,609,266.46/38,462.20
  6. Step 6: Final answer
    x = 31,449.30

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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.