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Finding the Fourth Proportional to 109,813, 164,781.78 and 50,648.71

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Solution

The fourth proportional to 109,813, 164,781.78 and 50,648.71 is: 76,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813 : 164,781.78 = 50,648.71 : x
  2. Step 2: Convert to fraction form
    109,813/164,781.78 = 50,648.71/x
  3. Step 3: Cross multiply
    109,813x = 164,781.78 × 50,648.71
  4. Step 4: Simplify right side
    109,813x = 8,345,984,588.50
  5. Step 5: Solve for x
    x = 8,345,984,588.50/109,813
  6. Step 6: Final answer
    x = 76,001.79

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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.