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Finding the Fourth Proportional to 77,342.15, 115,996.50 and 27,423.87

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Solution

The fourth proportional to 77,342.15, 115,996.50 and 27,423.87 is: 41,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342.15 : 115,996.50 = 27,423.87 : x
  2. Step 2: Convert to fraction form
    77,342.15/115,996.50 = 27,423.87/x
  3. Step 3: Cross multiply
    77,342.15x = 115,996.50 × 27,423.87
  4. Step 4: Simplify right side
    77,342.15x = 3,181,072,936.46
  5. Step 5: Solve for x
    x = 3,181,072,936.46/77,342.15
  6. Step 6: Final answer
    x = 41,129.88

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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.