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Finding the Fourth Proportional to 41,762.60, 62,657.82 and 27,777.76

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Solution

The fourth proportional to 41,762.60, 62,657.82 and 27,777.76 is: 41,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.60 : 62,657.82 = 27,777.76 : x
  2. Step 2: Convert to fraction form
    41,762.60/62,657.82 = 27,777.76/x
  3. Step 3: Cross multiply
    41,762.60x = 62,657.82 × 27,777.76
  4. Step 4: Simplify right side
    41,762.60x = 1,740,493,651.12
  5. Step 5: Solve for x
    x = 1,740,493,651.12/41,762.60
  6. Step 6: Final answer
    x = 41,675.90

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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.