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Finding the Fourth Proportional to 36,766.50, 55,154.82 and 11,800.68

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Solution

The fourth proportional to 36,766.50, 55,154.82 and 11,800.68 is: 17,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,766.50 : 55,154.82 = 11,800.68 : x
  2. Step 2: Convert to fraction form
    36,766.50/55,154.82 = 11,800.68/x
  3. Step 3: Cross multiply
    36,766.50x = 55,154.82 × 11,800.68
  4. Step 4: Simplify right side
    36,766.50x = 650,864,381.28
  5. Step 5: Solve for x
    x = 650,864,381.28/36,766.50
  6. Step 6: Final answer
    x = 17,702.65

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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.