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Finding the Fourth Proportional to 49,876, 74,813.91 and 29,084.92

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Solution

The fourth proportional to 49,876, 74,813.91 and 29,084.92 is: 43,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876 : 74,813.91 = 29,084.92 : x
  2. Step 2: Convert to fraction form
    49,876/74,813.91 = 29,084.92/x
  3. Step 3: Cross multiply
    49,876x = 74,813.91 × 29,084.92
  4. Step 4: Simplify right side
    49,876x = 2,175,956,587.24
  5. Step 5: Solve for x
    x = 2,175,956,587.24/49,876
  6. Step 6: Final answer
    x = 43,627.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.