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Finding the Fourth Proportional to 57,777.40, 86,568.90 and 49,418.20

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Solution

The fourth proportional to 57,777.40, 86,568.90 and 49,418.20 is: 74,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,777.40 : 86,568.90 = 49,418.20 : x
  2. Step 2: Convert to fraction form
    57,777.40/86,568.90 = 49,418.20/x
  3. Step 3: Cross multiply
    57,777.40x = 86,568.90 × 49,418.20
  4. Step 4: Simplify right side
    57,777.40x = 4,278,079,213.98
  5. Step 5: Solve for x
    x = 4,278,079,213.98/57,777.40
  6. Step 6: Final answer
    x = 74,044.16

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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.