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Finding the Fourth Proportional to 70,449.54, 97,251.39 and 49,311.78

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Solution

The fourth proportional to 70,449.54, 97,251.39 and 49,311.78 is: 68,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.54 : 97,251.39 = 49,311.78 : x
  2. Step 2: Convert to fraction form
    70,449.54/97,251.39 = 49,311.78/x
  3. Step 3: Cross multiply
    70,449.54x = 97,251.39 × 49,311.78
  4. Step 4: Simplify right side
    70,449.54x = 4,795,639,148.37
  5. Step 5: Solve for x
    x = 4,795,639,148.37/70,449.54
  6. Step 6: Final answer
    x = 68,071.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.