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Finding the Fourth Proportional to 33,269.46, 49,904.05 and 13,543.34

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Solution

The fourth proportional to 33,269.46, 49,904.05 and 13,543.34 is: 20,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,269.46 : 49,904.05 = 13,543.34 : x
  2. Step 2: Convert to fraction form
    33,269.46/49,904.05 = 13,543.34/x
  3. Step 3: Cross multiply
    33,269.46x = 49,904.05 × 13,543.34
  4. Step 4: Simplify right side
    33,269.46x = 675,867,516.53
  5. Step 5: Solve for x
    x = 675,867,516.53/33,269.46
  6. Step 6: Final answer
    x = 20,314.95

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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.