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Finding the Fourth Proportional to 83,435.97, 125,103.50 and 32,774.35

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Solution

The fourth proportional to 83,435.97, 125,103.50 and 32,774.35 is: 49,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,435.97 : 125,103.50 = 32,774.35 : x
  2. Step 2: Convert to fraction form
    83,435.97/125,103.50 = 32,774.35/x
  3. Step 3: Cross multiply
    83,435.97x = 125,103.50 × 32,774.35
  4. Step 4: Simplify right side
    83,435.97x = 4,100,186,207.98
  5. Step 5: Solve for x
    x = 4,100,186,207.98/83,435.97
  6. Step 6: Final answer
    x = 49,141.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.