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Finding the Fourth Proportional to 41,689.48, 62,540.72 and 13,981

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Solution

The fourth proportional to 41,689.48, 62,540.72 and 13,981 is: 20,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.48 : 62,540.72 = 13,981 : x
  2. Step 2: Convert to fraction form
    41,689.48/62,540.72 = 13,981/x
  3. Step 3: Cross multiply
    41,689.48x = 62,540.72 × 13,981
  4. Step 4: Simplify right side
    41,689.48x = 874,381,806.32
  5. Step 5: Solve for x
    x = 874,381,806.32/41,689.48
  6. Step 6: Final answer
    x = 20,973.68

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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.