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Finding the Fourth Proportional to 49,206, 67,904.28 and 29,334

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Solution

The fourth proportional to 49,206, 67,904.28 and 29,334 is: 40,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206 : 67,904.28 = 29,334 : x
  2. Step 2: Convert to fraction form
    49,206/67,904.28 = 29,334/x
  3. Step 3: Cross multiply
    49,206x = 67,904.28 × 29,334
  4. Step 4: Simplify right side
    49,206x = 1,991,904,149.52
  5. Step 5: Solve for x
    x = 1,991,904,149.52/49,206
  6. Step 6: Final answer
    x = 40,480.92

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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.