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Finding the Fourth Proportional to 41,656.48, 62,491.20 and 13,948

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Solution

The fourth proportional to 41,656.48, 62,491.20 and 13,948 is: 20,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656.48 : 62,491.20 = 13,948 : x
  2. Step 2: Convert to fraction form
    41,656.48/62,491.20 = 13,948/x
  3. Step 3: Cross multiply
    41,656.48x = 62,491.20 × 13,948
  4. Step 4: Simplify right side
    41,656.48x = 871,627,257.60
  5. Step 5: Solve for x
    x = 871,627,257.60/41,656.48
  6. Step 6: Final answer
    x = 20,924.17

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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.