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Finding the Fourth Proportional to 33,539.34, 50,319.54 and 13,827.18

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Solution

The fourth proportional to 33,539.34, 50,319.54 and 13,827.18 is: 20,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539.34 : 50,319.54 = 13,827.18 : x
  2. Step 2: Convert to fraction form
    33,539.34/50,319.54 = 13,827.18/x
  3. Step 3: Cross multiply
    33,539.34x = 50,319.54 × 13,827.18
  4. Step 4: Simplify right side
    33,539.34x = 695,777,337.10
  5. Step 5: Solve for x
    x = 695,777,337.10/33,539.34
  6. Step 6: Final answer
    x = 20,745.11

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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.