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Finding the Fourth Proportional to 49,552.16, 68,382 and 28,331.84

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Solution

The fourth proportional to 49,552.16, 68,382 and 28,331.84 is: 39,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,552.16 : 68,382 = 28,331.84 : x
  2. Step 2: Convert to fraction form
    49,552.16/68,382 = 28,331.84/x
  3. Step 3: Cross multiply
    49,552.16x = 68,382 × 28,331.84
  4. Step 4: Simplify right side
    49,552.16x = 1,937,387,882.88
  5. Step 5: Solve for x
    x = 1,937,387,882.88/49,552.16
  6. Step 6: Final answer
    x = 39,097.95

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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.