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Finding the Fourth Proportional to 38,102.33, 57,157.25 and 13,139.11

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Solution

The fourth proportional to 38,102.33, 57,157.25 and 13,139.11 is: 19,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.33 : 57,157.25 = 13,139.11 : x
  2. Step 2: Convert to fraction form
    38,102.33/57,157.25 = 13,139.11/x
  3. Step 3: Cross multiply
    38,102.33x = 57,157.25 × 13,139.11
  4. Step 4: Simplify right side
    38,102.33x = 750,995,400.80
  5. Step 5: Solve for x
    x = 750,995,400.80/38,102.33
  6. Step 6: Final answer
    x = 19,709.96

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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.