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Finding the Fourth Proportional to 83,169.88, 114,769.38 and 47,361.40

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Solution

The fourth proportional to 83,169.88, 114,769.38 and 47,361.40 is: 65,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.88 : 114,769.38 = 47,361.40 : x
  2. Step 2: Convert to fraction form
    83,169.88/114,769.38 = 47,361.40/x
  3. Step 3: Cross multiply
    83,169.88x = 114,769.38 × 47,361.40
  4. Step 4: Simplify right side
    83,169.88x = 5,435,638,513.93
  5. Step 5: Solve for x
    x = 5,435,638,513.93/83,169.88
  6. Step 6: Final answer
    x = 65,355.85

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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.