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Finding the Fourth Proportional to 33,047.70, 49,571.55 and 16,410.30

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Solution

The fourth proportional to 33,047.70, 49,571.55 and 16,410.30 is: 24,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.70 : 49,571.55 = 16,410.30 : x
  2. Step 2: Convert to fraction form
    33,047.70/49,571.55 = 16,410.30/x
  3. Step 3: Cross multiply
    33,047.70x = 49,571.55 × 16,410.30
  4. Step 4: Simplify right side
    33,047.70x = 813,484,006.97
  5. Step 5: Solve for x
    x = 813,484,006.97/33,047.70
  6. Step 6: Final answer
    x = 24,615.45

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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.