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Finding the Fourth Proportional to 41,177.48, 61,766.04 and 10,013

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Solution

The fourth proportional to 41,177.48, 61,766.04 and 10,013 is: 15,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177.48 : 61,766.04 = 10,013 : x
  2. Step 2: Convert to fraction form
    41,177.48/61,766.04 = 10,013/x
  3. Step 3: Cross multiply
    41,177.48x = 61,766.04 × 10,013
  4. Step 4: Simplify right side
    41,177.48x = 618,463,358.52
  5. Step 5: Solve for x
    x = 618,463,358.52/41,177.48
  6. Step 6: Final answer
    x = 15,019.46

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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.