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Finding the Fourth Proportional to 49,754, 68,660.84 and 27,399.44

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Solution

The fourth proportional to 49,754, 68,660.84 and 27,399.44 is: 37,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,754 : 68,660.84 = 27,399.44 : x
  2. Step 2: Convert to fraction form
    49,754/68,660.84 = 27,399.44/x
  3. Step 3: Cross multiply
    49,754x = 68,660.84 × 27,399.44
  4. Step 4: Simplify right side
    49,754x = 1,881,268,565.93
  5. Step 5: Solve for x
    x = 1,881,268,565.93/49,754
  6. Step 6: Final answer
    x = 37,811.40

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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.