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Finding the Fourth Proportional to 57,912.84, 86,919.06 and 33,002.88

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Solution

The fourth proportional to 57,912.84, 86,919.06 and 33,002.88 is: 49,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,912.84 : 86,919.06 = 33,002.88 : x
  2. Step 2: Convert to fraction form
    57,912.84/86,919.06 = 33,002.88/x
  3. Step 3: Cross multiply
    57,912.84x = 86,919.06 × 33,002.88
  4. Step 4: Simplify right side
    57,912.84x = 2,868,579,306.89
  5. Step 5: Solve for x
    x = 2,868,579,306.89/57,912.84
  6. Step 6: Final answer
    x = 49,532.70

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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.