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Finding the Fourth Proportional to 41,617, 62,412.48 and 13,908.52

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Solution

The fourth proportional to 41,617, 62,412.48 and 13,908.52 is: 20,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617 : 62,412.48 = 13,908.52 : x
  2. Step 2: Convert to fraction form
    41,617/62,412.48 = 13,908.52/x
  3. Step 3: Cross multiply
    41,617x = 62,412.48 × 13,908.52
  4. Step 4: Simplify right side
    41,617x = 868,065,226.33
  5. Step 5: Solve for x
    x = 868,065,226.33/41,617
  6. Step 6: Final answer
    x = 20,858.43

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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.