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Finding the Fourth Proportional to 49,322.93, 68,049.29 and 27,809.97

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Solution

The fourth proportional to 49,322.93, 68,049.29 and 27,809.97 is: 38,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.93 : 68,049.29 = 27,809.97 : x
  2. Step 2: Convert to fraction form
    49,322.93/68,049.29 = 27,809.97/x
  3. Step 3: Cross multiply
    49,322.93x = 68,049.29 × 27,809.97
  4. Step 4: Simplify right side
    49,322.93x = 1,892,448,574.37
  5. Step 5: Solve for x
    x = 1,892,448,574.37/49,322.93
  6. Step 6: Final answer
    x = 38,368.54

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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.