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Finding the Fourth Proportional to 38,540.56, 57,804.01 and 10,462.79

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Solution

The fourth proportional to 38,540.56, 57,804.01 and 10,462.79 is: 15,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.56 : 57,804.01 = 10,462.79 : x
  2. Step 2: Convert to fraction form
    38,540.56/57,804.01 = 10,462.79/x
  3. Step 3: Cross multiply
    38,540.56x = 57,804.01 × 10,462.79
  4. Step 4: Simplify right side
    38,540.56x = 604,791,165.47
  5. Step 5: Solve for x
    x = 604,791,165.47/38,540.56
  6. Step 6: Final answer
    x = 15,692.33

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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.