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Finding the Fourth Proportional to 77,331.84, 115,964.94 and 27,424.50

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Solution

The fourth proportional to 77,331.84, 115,964.94 and 27,424.50 is: 41,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331.84 : 115,964.94 = 27,424.50 : x
  2. Step 2: Convert to fraction form
    77,331.84/115,964.94 = 27,424.50/x
  3. Step 3: Cross multiply
    77,331.84x = 115,964.94 × 27,424.50
  4. Step 4: Simplify right side
    77,331.84x = 3,180,280,497.03
  5. Step 5: Solve for x
    x = 3,180,280,497.03/77,331.84
  6. Step 6: Final answer
    x = 41,125.11

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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.