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Finding the Fourth Proportional to 36,145.44, 49,885.94 and 20,829

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Solution

The fourth proportional to 36,145.44, 49,885.94 and 20,829 is: 28,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.44 : 49,885.94 = 20,829 : x
  2. Step 2: Convert to fraction form
    36,145.44/49,885.94 = 20,829/x
  3. Step 3: Cross multiply
    36,145.44x = 49,885.94 × 20,829
  4. Step 4: Simplify right side
    36,145.44x = 1,039,074,244.26
  5. Step 5: Solve for x
    x = 1,039,074,244.26/36,145.44
  6. Step 6: Final answer
    x = 28,747.04

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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.