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Finding the Fourth Proportional to 33,019, 49,528.52 and 9,645.64

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Solution

The fourth proportional to 33,019, 49,528.52 and 9,645.64 is: 14,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019 : 49,528.52 = 9,645.64 : x
  2. Step 2: Convert to fraction form
    33,019/49,528.52 = 9,645.64/x
  3. Step 3: Cross multiply
    33,019x = 49,528.52 × 9,645.64
  4. Step 4: Simplify right side
    33,019x = 477,734,273.65
  5. Step 5: Solve for x
    x = 477,734,273.65/33,019
  6. Step 6: Final answer
    x = 14,468.47

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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.