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Finding the Fourth Proportional to 33,209.70, 49,842.90 and 13,502.40

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Solution

The fourth proportional to 33,209.70, 49,842.90 and 13,502.40 is: 20,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.70 : 49,842.90 = 13,502.40 : x
  2. Step 2: Convert to fraction form
    33,209.70/49,842.90 = 13,502.40/x
  3. Step 3: Cross multiply
    33,209.70x = 49,842.90 × 13,502.40
  4. Step 4: Simplify right side
    33,209.70x = 672,998,772.96
  5. Step 5: Solve for x
    x = 672,998,772.96/33,209.70
  6. Step 6: Final answer
    x = 20,265.13

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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.