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Finding the Fourth Proportional to 71,864.64, 107,843.04 and 34,908.48

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Solution

The fourth proportional to 71,864.64, 107,843.04 and 34,908.48 is: 52,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.64 : 107,843.04 = 34,908.48 : x
  2. Step 2: Convert to fraction form
    71,864.64/107,843.04 = 34,908.48/x
  3. Step 3: Cross multiply
    71,864.64x = 107,843.04 × 34,908.48
  4. Step 4: Simplify right side
    71,864.64x = 3,764,636,604.98
  5. Step 5: Solve for x
    x = 3,764,636,604.98/71,864.64
  6. Step 6: Final answer
    x = 52,385.10

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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.