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Finding the Fourth Proportional to 49,435.77, 68,205.01 and 27,922.52

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Solution

The fourth proportional to 49,435.77, 68,205.01 and 27,922.52 is: 38,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.77 : 68,205.01 = 27,922.52 : x
  2. Step 2: Convert to fraction form
    49,435.77/68,205.01 = 27,922.52/x
  3. Step 3: Cross multiply
    49,435.77x = 68,205.01 × 27,922.52
  4. Step 4: Simplify right side
    49,435.77x = 1,904,455,987.42
  5. Step 5: Solve for x
    x = 1,904,455,987.42/49,435.77
  6. Step 6: Final answer
    x = 38,523.85

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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.