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Finding the Fourth Proportional to 41,218.24, 56,876 and 24,448

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Solution

The fourth proportional to 41,218.24, 56,876 and 24,448 is: 33,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,218.24 : 56,876 = 24,448 : x
  2. Step 2: Convert to fraction form
    41,218.24/56,876 = 24,448/x
  3. Step 3: Cross multiply
    41,218.24x = 56,876 × 24,448
  4. Step 4: Simplify right side
    41,218.24x = 1,390,504,448
  5. Step 5: Solve for x
    x = 1,390,504,448/41,218.24
  6. Step 6: Final answer
    x = 33,735.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.