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Finding the Fourth Proportional to 49,924, 68,895.18 and 27,568

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Solution

The fourth proportional to 49,924, 68,895.18 and 27,568 is: 38,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924 : 68,895.18 = 27,568 : x
  2. Step 2: Convert to fraction form
    49,924/68,895.18 = 27,568/x
  3. Step 3: Cross multiply
    49,924x = 68,895.18 × 27,568
  4. Step 4: Simplify right side
    49,924x = 1,899,302,322.24
  5. Step 5: Solve for x
    x = 1,899,302,322.24/49,924
  6. Step 6: Final answer
    x = 38,043.87

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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.