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Finding the Fourth Proportional to 36,735.84, 50,689.20 and 20,817

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Solution

The fourth proportional to 36,735.84, 50,689.20 and 20,817 is: 28,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,735.84 : 50,689.20 = 20,817 : x
  2. Step 2: Convert to fraction form
    36,735.84/50,689.20 = 20,817/x
  3. Step 3: Cross multiply
    36,735.84x = 50,689.20 × 20,817
  4. Step 4: Simplify right side
    36,735.84x = 1,055,197,076.40
  5. Step 5: Solve for x
    x = 1,055,197,076.40/36,735.84
  6. Step 6: Final answer
    x = 28,723.91

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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.