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Finding the Fourth Proportional to 41,824.83, 62,724 and 13,738.36

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Solution

The fourth proportional to 41,824.83, 62,724 and 13,738.36 is: 20,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,824.83 : 62,724 = 13,738.36 : x
  2. Step 2: Convert to fraction form
    41,824.83/62,724 = 13,738.36/x
  3. Step 3: Cross multiply
    41,824.83x = 62,724 × 13,738.36
  4. Step 4: Simplify right side
    41,824.83x = 861,724,892.64
  5. Step 5: Solve for x
    x = 861,724,892.64/41,824.83
  6. Step 6: Final answer
    x = 20,603.19

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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.