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Finding the Fourth Proportional to 41,422.74, 62,127.63 and 13,720.74

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Solution

The fourth proportional to 41,422.74, 62,127.63 and 13,720.74 is: 20,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,422.74 : 62,127.63 = 13,720.74 : x
  2. Step 2: Convert to fraction form
    41,422.74/62,127.63 = 13,720.74/x
  3. Step 3: Cross multiply
    41,422.74x = 62,127.63 × 13,720.74
  4. Step 4: Simplify right side
    41,422.74x = 852,437,058.05
  5. Step 5: Solve for x
    x = 852,437,058.05/41,422.74
  6. Step 6: Final answer
    x = 20,578.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.