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Finding the Fourth Proportional to 33,898.84, 50,829.20 and 13,902.83

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Solution

The fourth proportional to 33,898.84, 50,829.20 and 13,902.83 is: 20,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.84 : 50,829.20 = 13,902.83 : x
  2. Step 2: Convert to fraction form
    33,898.84/50,829.20 = 13,902.83/x
  3. Step 3: Cross multiply
    33,898.84x = 50,829.20 × 13,902.83
  4. Step 4: Simplify right side
    33,898.84x = 706,669,726.64
  5. Step 5: Solve for x
    x = 706,669,726.64/33,898.84
  6. Step 6: Final answer
    x = 20,846.43

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1.5x scale

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.