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Finding the Fourth Proportional to 57,410.56, 85,899.43 and 51,583.42

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Solution

The fourth proportional to 57,410.56, 85,899.43 and 51,583.42 is: 77,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.56 : 85,899.43 = 51,583.42 : x
  2. Step 2: Convert to fraction form
    57,410.56/85,899.43 = 51,583.42/x
  3. Step 3: Cross multiply
    57,410.56x = 85,899.43 × 51,583.42
  4. Step 4: Simplify right side
    57,410.56x = 4,430,986,375.45
  5. Step 5: Solve for x
    x = 4,430,986,375.45/57,410.56
  6. Step 6: Final answer
    x = 77,180.69

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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.