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Finding the Fourth Proportional to 38,542.40, 57,817.44 and 10,462.92

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Solution

The fourth proportional to 38,542.40, 57,817.44 and 10,462.92 is: 15,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.40 : 57,817.44 = 10,462.92 : x
  2. Step 2: Convert to fraction form
    38,542.40/57,817.44 = 10,462.92/x
  3. Step 3: Cross multiply
    38,542.40x = 57,817.44 × 10,462.92
  4. Step 4: Simplify right side
    38,542.40x = 604,939,249.32
  5. Step 5: Solve for x
    x = 604,939,249.32/38,542.40
  6. Step 6: Final answer
    x = 15,695.42

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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.