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Finding the Fourth Proportional to 49,863.96, 75,046.86 and 37,449

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Solution

The fourth proportional to 49,863.96, 75,046.86 and 37,449 is: 56,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863.96 : 75,046.86 = 37,449 : x
  2. Step 2: Convert to fraction form
    49,863.96/75,046.86 = 37,449/x
  3. Step 3: Cross multiply
    49,863.96x = 75,046.86 × 37,449
  4. Step 4: Simplify right side
    49,863.96x = 2,810,429,860.14
  5. Step 5: Solve for x
    x = 2,810,429,860.14/49,863.96
  6. Step 6: Final answer
    x = 56,361.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.