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Finding the Fourth Proportional to 36,856.50, 55,284.75 and 12,232.50

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Solution

The fourth proportional to 36,856.50, 55,284.75 and 12,232.50 is: 18,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856.50 : 55,284.75 = 12,232.50 : x
  2. Step 2: Convert to fraction form
    36,856.50/55,284.75 = 12,232.50/x
  3. Step 3: Cross multiply
    36,856.50x = 55,284.75 × 12,232.50
  4. Step 4: Simplify right side
    36,856.50x = 676,270,704.38
  5. Step 5: Solve for x
    x = 676,270,704.38/36,856.50
  6. Step 6: Final answer
    x = 18,348.75

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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.