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Finding the Fourth Proportional to 57,134.88, 85,529.39 and 51,869.88

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Solution

The fourth proportional to 57,134.88, 85,529.39 and 51,869.88 is: 77,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.88 : 85,529.39 = 51,869.88 : x
  2. Step 2: Convert to fraction form
    57,134.88/85,529.39 = 51,869.88/x
  3. Step 3: Cross multiply
    57,134.88x = 85,529.39 × 51,869.88
  4. Step 4: Simplify right side
    57,134.88x = 4,436,398,936.42
  5. Step 5: Solve for x
    x = 4,436,398,936.42/57,134.88
  6. Step 6: Final answer
    x = 77,647.82

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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.