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Finding the Fourth Proportional to 33,242.19, 49,871.49 and 9,868.62

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Solution

The fourth proportional to 33,242.19, 49,871.49 and 9,868.62 is: 14,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.19 : 49,871.49 = 9,868.62 : x
  2. Step 2: Convert to fraction form
    33,242.19/49,871.49 = 9,868.62/x
  3. Step 3: Cross multiply
    33,242.19x = 49,871.49 × 9,868.62
  4. Step 4: Simplify right side
    33,242.19x = 492,162,783.64
  5. Step 5: Solve for x
    x = 492,162,783.64/33,242.19
  6. Step 6: Final answer
    x = 14,805.37

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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.