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Finding the Fourth Proportional to 33,084.68, 49,626.95 and 14,362.29

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Solution

The fourth proportional to 33,084.68, 49,626.95 and 14,362.29 is: 21,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.68 : 49,626.95 = 14,362.29 : x
  2. Step 2: Convert to fraction form
    33,084.68/49,626.95 = 14,362.29/x
  3. Step 3: Cross multiply
    33,084.68x = 49,626.95 × 14,362.29
  4. Step 4: Simplify right side
    33,084.68x = 712,756,575.90
  5. Step 5: Solve for x
    x = 712,756,575.90/33,084.68
  6. Step 6: Final answer
    x = 21,543.41

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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.