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Finding the Fourth Proportional to 71,806.20, 107,714.10 and 24,420.60

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Solution

The fourth proportional to 71,806.20, 107,714.10 and 24,420.60 is: 36,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.20 : 107,714.10 = 24,420.60 : x
  2. Step 2: Convert to fraction form
    71,806.20/107,714.10 = 24,420.60/x
  3. Step 3: Cross multiply
    71,806.20x = 107,714.10 × 24,420.60
  4. Step 4: Simplify right side
    71,806.20x = 2,630,442,950.46
  5. Step 5: Solve for x
    x = 2,630,442,950.46/71,806.20
  6. Step 6: Final answer
    x = 36,632.53

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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.