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Finding the Fourth Proportional to 49,035, 67,674.06 and 29,163

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Solution

The fourth proportional to 49,035, 67,674.06 and 29,163 is: 40,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,035 : 67,674.06 = 29,163 : x
  2. Step 2: Convert to fraction form
    49,035/67,674.06 = 29,163/x
  3. Step 3: Cross multiply
    49,035x = 67,674.06 × 29,163
  4. Step 4: Simplify right side
    49,035x = 1,973,578,611.78
  5. Step 5: Solve for x
    x = 1,973,578,611.78/49,035
  6. Step 6: Final answer
    x = 40,248.37

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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.