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Finding the Fourth Proportional to 83,872.85, 115,747.72 and 48,069.77

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Solution

The fourth proportional to 83,872.85, 115,747.72 and 48,069.77 is: 66,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872.85 : 115,747.72 = 48,069.77 : x
  2. Step 2: Convert to fraction form
    83,872.85/115,747.72 = 48,069.77/x
  3. Step 3: Cross multiply
    83,872.85x = 115,747.72 × 48,069.77
  4. Step 4: Simplify right side
    83,872.85x = 5,563,966,230.59
  5. Step 5: Solve for x
    x = 5,563,966,230.59/83,872.85
  6. Step 6: Final answer
    x = 66,338.11

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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.