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Finding the Fourth Proportional to 66,512.84, 99,682.62 and 27,023.78

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Solution

The fourth proportional to 66,512.84, 99,682.62 and 27,023.78 is: 40,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512.84 : 99,682.62 = 27,023.78 : x
  2. Step 2: Convert to fraction form
    66,512.84/99,682.62 = 27,023.78/x
  3. Step 3: Cross multiply
    66,512.84x = 99,682.62 × 27,023.78
  4. Step 4: Simplify right side
    66,512.84x = 2,693,801,439.16
  5. Step 5: Solve for x
    x = 2,693,801,439.16/66,512.84
  6. Step 6: Final answer
    x = 40,500.47

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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.