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Finding the Fourth Proportional to 36,770.32, 55,171.23 and 15,715

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Solution

The fourth proportional to 36,770.32, 55,171.23 and 15,715 is: 23,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770.32 : 55,171.23 = 15,715 : x
  2. Step 2: Convert to fraction form
    36,770.32/55,171.23 = 15,715/x
  3. Step 3: Cross multiply
    36,770.32x = 55,171.23 × 15,715
  4. Step 4: Simplify right side
    36,770.32x = 867,015,879.45
  5. Step 5: Solve for x
    x = 867,015,879.45/36,770.32
  6. Step 6: Final answer
    x = 23,579.23

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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.