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Finding the Fourth Proportional to 38,209.72, 57,316.80 and 10,129.08

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Solution

The fourth proportional to 38,209.72, 57,316.80 and 10,129.08 is: 15,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.72 : 57,316.80 = 10,129.08 : x
  2. Step 2: Convert to fraction form
    38,209.72/57,316.80 = 10,129.08/x
  3. Step 3: Cross multiply
    38,209.72x = 57,316.80 × 10,129.08
  4. Step 4: Simplify right side
    38,209.72x = 580,566,452.54
  5. Step 5: Solve for x
    x = 580,566,452.54/38,209.72
  6. Step 6: Final answer
    x = 15,194.21

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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.