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Finding the Fourth Proportional to 41,288, 56,978.48 and 22,425.12

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Solution

The fourth proportional to 41,288, 56,978.48 and 22,425.12 is: 30,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,288 : 56,978.48 = 22,425.12 : x
  2. Step 2: Convert to fraction form
    41,288/56,978.48 = 22,425.12/x
  3. Step 3: Cross multiply
    41,288x = 56,978.48 × 22,425.12
  4. Step 4: Simplify right side
    41,288x = 1,277,749,251.42
  5. Step 5: Solve for x
    x = 1,277,749,251.42/41,288
  6. Step 6: Final answer
    x = 30,947.23

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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.