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Finding the Fourth Proportional to 71,881.42, 107,835.18 and 24,494.08

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Solution

The fourth proportional to 71,881.42, 107,835.18 and 24,494.08 is: 36,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881.42 : 107,835.18 = 24,494.08 : x
  2. Step 2: Convert to fraction form
    71,881.42/107,835.18 = 24,494.08/x
  3. Step 3: Cross multiply
    71,881.42x = 107,835.18 × 24,494.08
  4. Step 4: Simplify right side
    71,881.42x = 2,641,323,525.73
  5. Step 5: Solve for x
    x = 2,641,323,525.73/71,881.42
  6. Step 6: Final answer
    x = 36,745.57

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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.