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Finding the Fourth Proportional to 77,072.72, 115,618.34 and 27,142.50

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Solution

The fourth proportional to 77,072.72, 115,618.34 and 27,142.50 is: 40,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072.72 : 115,618.34 = 27,142.50 : x
  2. Step 2: Convert to fraction form
    77,072.72/115,618.34 = 27,142.50/x
  3. Step 3: Cross multiply
    77,072.72x = 115,618.34 × 27,142.50
  4. Step 4: Simplify right side
    77,072.72x = 3,138,170,793.45
  5. Step 5: Solve for x
    x = 3,138,170,793.45/77,072.72
  6. Step 6: Final answer
    x = 40,717.01

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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.