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Finding the Fourth Proportional to 33,280.50, 49,922.38 and 9,907.14

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Solution

The fourth proportional to 33,280.50, 49,922.38 and 9,907.14 is: 14,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280.50 : 49,922.38 = 9,907.14 : x
  2. Step 2: Convert to fraction form
    33,280.50/49,922.38 = 9,907.14/x
  3. Step 3: Cross multiply
    33,280.50x = 49,922.38 × 9,907.14
  4. Step 4: Simplify right side
    33,280.50x = 494,588,007.79
  5. Step 5: Solve for x
    x = 494,588,007.79/33,280.50
  6. Step 6: Final answer
    x = 14,861.20

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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.