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Finding the Fourth Proportional to 83,639.52, 115,263.09 and 82,102.38

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Solution

The fourth proportional to 83,639.52, 115,263.09 and 82,102.38 is: 113,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639.52 : 115,263.09 = 82,102.38 : x
  2. Step 2: Convert to fraction form
    83,639.52/115,263.09 = 82,102.38/x
  3. Step 3: Cross multiply
    83,639.52x = 115,263.09 × 82,102.38
  4. Step 4: Simplify right side
    83,639.52x = 9,463,374,015.15
  5. Step 5: Solve for x
    x = 9,463,374,015.15/83,639.52
  6. Step 6: Final answer
    x = 113,144.77

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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.