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Finding the Fourth Proportional to 33,874.50, 50,807.66 and 8,916.48

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Solution

The fourth proportional to 33,874.50, 50,807.66 and 8,916.48 is: 13,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874.50 : 50,807.66 = 8,916.48 : x
  2. Step 2: Convert to fraction form
    33,874.50/50,807.66 = 8,916.48/x
  3. Step 3: Cross multiply
    33,874.50x = 50,807.66 × 8,916.48
  4. Step 4: Simplify right side
    33,874.50x = 453,025,439.65
  5. Step 5: Solve for x
    x = 453,025,439.65/33,874.50
  6. Step 6: Final answer
    x = 13,373.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.