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Finding the Fourth Proportional to 76,682.50, 115,042.21 and 24,091.97

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Solution

The fourth proportional to 76,682.50, 115,042.21 and 24,091.97 is: 36,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.50 : 115,042.21 = 24,091.97 : x
  2. Step 2: Convert to fraction form
    76,682.50/115,042.21 = 24,091.97/x
  3. Step 3: Cross multiply
    76,682.50x = 115,042.21 × 24,091.97
  4. Step 4: Simplify right side
    76,682.50x = 2,771,592,836.61
  5. Step 5: Solve for x
    x = 2,771,592,836.61/76,682.50
  6. Step 6: Final answer
    x = 36,143.75

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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.