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Finding the Fourth Proportional to 41,719, 57,572.22 and 24,952

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Solution

The fourth proportional to 41,719, 57,572.22 and 24,952 is: 34,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,719 : 57,572.22 = 24,952 : x
  2. Step 2: Convert to fraction form
    41,719/57,572.22 = 24,952/x
  3. Step 3: Cross multiply
    41,719x = 57,572.22 × 24,952
  4. Step 4: Simplify right side
    41,719x = 1,436,542,033.44
  5. Step 5: Solve for x
    x = 1,436,542,033.44/41,719
  6. Step 6: Final answer
    x = 34,433.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.