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Finding the Fourth Proportional to 33,202.98, 49,808.12 and 16,567.20

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Solution

The fourth proportional to 33,202.98, 49,808.12 and 16,567.20 is: 24,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.98 : 49,808.12 = 16,567.20 : x
  2. Step 2: Convert to fraction form
    33,202.98/49,808.12 = 16,567.20/x
  3. Step 3: Cross multiply
    33,202.98x = 49,808.12 × 16,567.20
  4. Step 4: Simplify right side
    33,202.98x = 825,181,002.83
  5. Step 5: Solve for x
    x = 825,181,002.83/33,202.98
  6. Step 6: Final answer
    x = 24,852.62

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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.