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Finding the Fourth Proportional to 49,807, 68,734.38 and 27,451

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Solution

The fourth proportional to 49,807, 68,734.38 and 27,451 is: 37,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807 : 68,734.38 = 27,451 : x
  2. Step 2: Convert to fraction form
    49,807/68,734.38 = 27,451/x
  3. Step 3: Cross multiply
    49,807x = 68,734.38 × 27,451
  4. Step 4: Simplify right side
    49,807x = 1,886,827,465.38
  5. Step 5: Solve for x
    x = 1,886,827,465.38/49,807
  6. Step 6: Final answer
    x = 37,882.78

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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.