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Finding the Fourth Proportional to 41,308.86, 57,004.38 and 23,402.82

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Solution

The fourth proportional to 41,308.86, 57,004.38 and 23,402.82 is: 32,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,308.86 : 57,004.38 = 23,402.82 : x
  2. Step 2: Convert to fraction form
    41,308.86/57,004.38 = 23,402.82/x
  3. Step 3: Cross multiply
    41,308.86x = 57,004.38 × 23,402.82
  4. Step 4: Simplify right side
    41,308.86x = 1,334,063,244.35
  5. Step 5: Solve for x
    x = 1,334,063,244.35/41,308.86
  6. Step 6: Final answer
    x = 32,294.85

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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.