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Finding the Fourth Proportional to 71,794.64, 107,738.04 and 34,838.48

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Solution

The fourth proportional to 71,794.64, 107,738.04 and 34,838.48 is: 52,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794.64 : 107,738.04 = 34,838.48 : x
  2. Step 2: Convert to fraction form
    71,794.64/107,738.04 = 34,838.48/x
  3. Step 3: Cross multiply
    71,794.64x = 107,738.04 × 34,838.48
  4. Step 4: Simplify right side
    71,794.64x = 3,753,429,551.78
  5. Step 5: Solve for x
    x = 3,753,429,551.78/71,794.64
  6. Step 6: Final answer
    x = 52,280.08

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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.