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Finding the Fourth Proportional to 83,508.75, 115,242.48 and 49,974.75

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Solution

The fourth proportional to 83,508.75, 115,242.48 and 49,974.75 is: 68,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,508.75 : 115,242.48 = 49,974.75 : x
  2. Step 2: Convert to fraction form
    83,508.75/115,242.48 = 49,974.75/x
  3. Step 3: Cross multiply
    83,508.75x = 115,242.48 × 49,974.75
  4. Step 4: Simplify right side
    83,508.75x = 5,759,214,127.38
  5. Step 5: Solve for x
    x = 5,759,214,127.38/83,508.75
  6. Step 6: Final answer
    x = 68,965.40

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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.