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Finding the Fourth Proportional to 71,873.41, 107,830.92 and 29,745.72

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Solution

The fourth proportional to 71,873.41, 107,830.92 and 29,745.72 is: 44,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,873.41 : 107,830.92 = 29,745.72 : x
  2. Step 2: Convert to fraction form
    71,873.41/107,830.92 = 29,745.72/x
  3. Step 3: Cross multiply
    71,873.41x = 107,830.92 × 29,745.72
  4. Step 4: Simplify right side
    71,873.41x = 3,207,508,353.66
  5. Step 5: Solve for x
    x = 3,207,508,353.66/71,873.41
  6. Step 6: Final answer
    x = 44,627.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.