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Finding the Fourth Proportional to 36,951.84, 55,432.98 and 11,983.50

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Solution

The fourth proportional to 36,951.84, 55,432.98 and 11,983.50 is: 17,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951.84 : 55,432.98 = 11,983.50 : x
  2. Step 2: Convert to fraction form
    36,951.84/55,432.98 = 11,983.50/x
  3. Step 3: Cross multiply
    36,951.84x = 55,432.98 × 11,983.50
  4. Step 4: Simplify right side
    36,951.84x = 664,281,115.83
  5. Step 5: Solve for x
    x = 664,281,115.83/36,951.84
  6. Step 6: Final answer
    x = 17,976.94

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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.