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Finding the Fourth Proportional to 33,048.70, 49,573.05 and 16,411.30

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Solution

The fourth proportional to 33,048.70, 49,573.05 and 16,411.30 is: 24,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048.70 : 49,573.05 = 16,411.30 : x
  2. Step 2: Convert to fraction form
    33,048.70/49,573.05 = 16,411.30/x
  3. Step 3: Cross multiply
    33,048.70x = 49,573.05 × 16,411.30
  4. Step 4: Simplify right side
    33,048.70x = 813,558,195.47
  5. Step 5: Solve for x
    x = 813,558,195.47/33,048.70
  6. Step 6: Final answer
    x = 24,616.95

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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.