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Finding the Fourth Proportional to 36,701.80, 50,669.50 and 24,163

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Solution

The fourth proportional to 36,701.80, 50,669.50 and 24,163 is: 33,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701.80 : 50,669.50 = 24,163 : x
  2. Step 2: Convert to fraction form
    36,701.80/50,669.50 = 24,163/x
  3. Step 3: Cross multiply
    36,701.80x = 50,669.50 × 24,163
  4. Step 4: Simplify right side
    36,701.80x = 1,224,327,128.50
  5. Step 5: Solve for x
    x = 1,224,327,128.50/36,701.80
  6. Step 6: Final answer
    x = 33,358.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.