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Finding the Fourth Proportional to 66,834.79, 100,252.32 and 27,384.82

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Solution

The fourth proportional to 66,834.79, 100,252.32 and 27,384.82 is: 41,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834.79 : 100,252.32 = 27,384.82 : x
  2. Step 2: Convert to fraction form
    66,834.79/100,252.32 = 27,384.82/x
  3. Step 3: Cross multiply
    66,834.79x = 100,252.32 × 27,384.82
  4. Step 4: Simplify right side
    66,834.79x = 2,745,391,737.78
  5. Step 5: Solve for x
    x = 2,745,391,737.78/66,834.79
  6. Step 6: Final answer
    x = 41,077.29

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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.