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Finding the Fourth Proportional to 33,586.40, 50,382.42 and 10,213.04

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Solution

The fourth proportional to 33,586.40, 50,382.42 and 10,213.04 is: 15,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586.40 : 50,382.42 = 10,213.04 : x
  2. Step 2: Convert to fraction form
    33,586.40/50,382.42 = 10,213.04/x
  3. Step 3: Cross multiply
    33,586.40x = 50,382.42 × 10,213.04
  4. Step 4: Simplify right side
    33,586.40x = 514,557,670.76
  5. Step 5: Solve for x
    x = 514,557,670.76/33,586.40
  6. Step 6: Final answer
    x = 15,320.42

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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.