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Finding the Fourth Proportional to 33,271.46, 49,907.05 and 13,545.34

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Solution

The fourth proportional to 33,271.46, 49,907.05 and 13,545.34 is: 20,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271.46 : 49,907.05 = 13,545.34 : x
  2. Step 2: Convert to fraction form
    33,271.46/49,907.05 = 13,545.34/x
  3. Step 3: Cross multiply
    33,271.46x = 49,907.05 × 13,545.34
  4. Step 4: Simplify right side
    33,271.46x = 676,007,960.65
  5. Step 5: Solve for x
    x = 676,007,960.65/33,271.46
  6. Step 6: Final answer
    x = 20,317.95

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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.