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Finding the Fourth Proportional to 41,468, 57,227.32 and 23,563.76

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Solution

The fourth proportional to 41,468, 57,227.32 and 23,563.76 is: 32,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,468 : 57,227.32 = 23,563.76 : x
  2. Step 2: Convert to fraction form
    41,468/57,227.32 = 23,563.76/x
  3. Step 3: Cross multiply
    41,468x = 57,227.32 × 23,563.76
  4. Step 4: Simplify right side
    41,468x = 1,348,490,833.92
  5. Step 5: Solve for x
    x = 1,348,490,833.92/41,468
  6. Step 6: Final answer
    x = 32,518.83

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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.