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Finding the Fourth Proportional to 33,247.44, 49,871.36 and 9,874.08

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Solution

The fourth proportional to 33,247.44, 49,871.36 and 9,874.08 is: 14,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.44 : 49,871.36 = 9,874.08 : x
  2. Step 2: Convert to fraction form
    33,247.44/49,871.36 = 9,874.08/x
  3. Step 3: Cross multiply
    33,247.44x = 49,871.36 × 9,874.08
  4. Step 4: Simplify right side
    33,247.44x = 492,433,798.35
  5. Step 5: Solve for x
    x = 492,433,798.35/33,247.44
  6. Step 6: Final answer
    x = 14,811.18

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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.