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Finding the Fourth Proportional to 41,899.14, 57,820.64 and 23,035.86

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Solution

The fourth proportional to 41,899.14, 57,820.64 and 23,035.86 is: 31,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,899.14 : 57,820.64 = 23,035.86 : x
  2. Step 2: Convert to fraction form
    41,899.14/57,820.64 = 23,035.86/x
  3. Step 3: Cross multiply
    41,899.14x = 57,820.64 × 23,035.86
  4. Step 4: Simplify right side
    41,899.14x = 1,331,948,052.97
  5. Step 5: Solve for x
    x = 1,331,948,052.97/41,899.14
  6. Step 6: Final answer
    x = 31,789.39

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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.