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Finding the Fourth Proportional to 33,240.28, 49,860 and 8,280.53

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Solution

The fourth proportional to 33,240.28, 49,860 and 8,280.53 is: 12,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,240.28 : 49,860 = 8,280.53 : x
  2. Step 2: Convert to fraction form
    33,240.28/49,860 = 8,280.53/x
  3. Step 3: Cross multiply
    33,240.28x = 49,860 × 8,280.53
  4. Step 4: Simplify right side
    33,240.28x = 412,867,225.80
  5. Step 5: Solve for x
    x = 412,867,225.80/33,240.28
  6. Step 6: Final answer
    x = 12,420.69

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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.