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Finding the Fourth Proportional to 41,327.38, 57,031.53 and 22,464.49

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Solution

The fourth proportional to 41,327.38, 57,031.53 and 22,464.49 is: 31,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,327.38 : 57,031.53 = 22,464.49 : x
  2. Step 2: Convert to fraction form
    41,327.38/57,031.53 = 22,464.49/x
  3. Step 3: Cross multiply
    41,327.38x = 57,031.53 × 22,464.49
  4. Step 4: Simplify right side
    41,327.38x = 1,281,184,235.37
  5. Step 5: Solve for x
    x = 1,281,184,235.37/41,327.38
  6. Step 6: Final answer
    x = 31,000.86

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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.