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Finding the Fourth Proportional to 33,909.20, 50,849.40 and 16,384.40

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Solution

The fourth proportional to 33,909.20, 50,849.40 and 16,384.40 is: 24,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,909.20 : 50,849.40 = 16,384.40 : x
  2. Step 2: Convert to fraction form
    33,909.20/50,849.40 = 16,384.40/x
  3. Step 3: Cross multiply
    33,909.20x = 50,849.40 × 16,384.40
  4. Step 4: Simplify right side
    33,909.20x = 833,136,909.36
  5. Step 5: Solve for x
    x = 833,136,909.36/33,909.20
  6. Step 6: Final answer
    x = 24,569.64

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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.