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Finding the Fourth Proportional to 33,539.84, 50,320.29 and 13,827.68

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Solution

The fourth proportional to 33,539.84, 50,320.29 and 13,827.68 is: 20,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539.84 : 50,320.29 = 13,827.68 : x
  2. Step 2: Convert to fraction form
    33,539.84/50,320.29 = 13,827.68/x
  3. Step 3: Cross multiply
    33,539.84x = 50,320.29 × 13,827.68
  4. Step 4: Simplify right side
    33,539.84x = 695,812,616.03
  5. Step 5: Solve for x
    x = 695,812,616.03/33,539.84
  6. Step 6: Final answer
    x = 20,745.86

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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.