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Finding the Fourth Proportional to 36,712.40, 55,074.36 and 21,938

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Solution

The fourth proportional to 36,712.40, 55,074.36 and 21,938 is: 32,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712.40 : 55,074.36 = 21,938 : x
  2. Step 2: Convert to fraction form
    36,712.40/55,074.36 = 21,938/x
  3. Step 3: Cross multiply
    36,712.40x = 55,074.36 × 21,938
  4. Step 4: Simplify right side
    36,712.40x = 1,208,221,309.68
  5. Step 5: Solve for x
    x = 1,208,221,309.68/36,712.40
  6. Step 6: Final answer
    x = 32,910.44

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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.