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Finding the Fourth Proportional to 66,916.34, 100,342.73 and 38,845

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Solution

The fourth proportional to 66,916.34, 100,342.73 and 38,845 is: 58,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,916.34 : 100,342.73 = 38,845 : x
  2. Step 2: Convert to fraction form
    66,916.34/100,342.73 = 38,845/x
  3. Step 3: Cross multiply
    66,916.34x = 100,342.73 × 38,845
  4. Step 4: Simplify right side
    66,916.34x = 3,897,813,346.85
  5. Step 5: Solve for x
    x = 3,897,813,346.85/66,916.34
  6. Step 6: Final answer
    x = 58,249.05

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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.