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Finding the Fourth Proportional to 49,467, 68,268.78 and 27,115.32

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Solution

The fourth proportional to 49,467, 68,268.78 and 27,115.32 is: 37,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467 : 68,268.78 = 27,115.32 : x
  2. Step 2: Convert to fraction form
    49,467/68,268.78 = 27,115.32/x
  3. Step 3: Cross multiply
    49,467x = 68,268.78 × 27,115.32
  4. Step 4: Simplify right side
    49,467x = 1,851,129,815.71
  5. Step 5: Solve for x
    x = 1,851,129,815.71/49,467
  6. Step 6: Final answer
    x = 37,421.51

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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.