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Finding the Fourth Proportional to 83,771.34, 125,623.98 and 33,842.04

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Solution

The fourth proportional to 83,771.34, 125,623.98 and 33,842.04 is: 50,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,771.34 : 125,623.98 = 33,842.04 : x
  2. Step 2: Convert to fraction form
    83,771.34/125,623.98 = 33,842.04/x
  3. Step 3: Cross multiply
    83,771.34x = 125,623.98 × 33,842.04
  4. Step 4: Simplify right side
    83,771.34x = 4,251,371,756.12
  5. Step 5: Solve for x
    x = 4,251,371,756.12/83,771.34
  6. Step 6: Final answer
    x = 50,749.72

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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.