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Finding the Fourth Proportional to 33,142.87, 49,722.08 and 10,956.24

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Solution

The fourth proportional to 33,142.87, 49,722.08 and 10,956.24 is: 16,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.87 : 49,722.08 = 10,956.24 : x
  2. Step 2: Convert to fraction form
    33,142.87/49,722.08 = 10,956.24/x
  3. Step 3: Cross multiply
    33,142.87x = 49,722.08 × 10,956.24
  4. Step 4: Simplify right side
    33,142.87x = 544,767,048.63
  5. Step 5: Solve for x
    x = 544,767,048.63/33,142.87
  6. Step 6: Final answer
    x = 16,436.93

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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.