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Finding the Fourth Proportional to 33,834.40, 50,708.40 and 16,266.40

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Solution

The fourth proportional to 33,834.40, 50,708.40 and 16,266.40 is: 24,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834.40 : 50,708.40 = 16,266.40 : x
  2. Step 2: Convert to fraction form
    33,834.40/50,708.40 = 16,266.40/x
  3. Step 3: Cross multiply
    33,834.40x = 50,708.40 × 16,266.40
  4. Step 4: Simplify right side
    33,834.40x = 824,843,117.76
  5. Step 5: Solve for x
    x = 824,843,117.76/33,834.40
  6. Step 6: Final answer
    x = 24,378.83

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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.