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Finding the Fourth Proportional to 33,698.84, 50,551.50 and 10,321.16

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Solution

The fourth proportional to 33,698.84, 50,551.50 and 10,321.16 is: 15,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.84 : 50,551.50 = 10,321.16 : x
  2. Step 2: Convert to fraction form
    33,698.84/50,551.50 = 10,321.16/x
  3. Step 3: Cross multiply
    33,698.84x = 50,551.50 × 10,321.16
  4. Step 4: Simplify right side
    33,698.84x = 521,750,119.74
  5. Step 5: Solve for x
    x = 521,750,119.74/33,698.84
  6. Step 6: Final answer
    x = 15,482.73

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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.