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Finding the Fourth Proportional to 27,834.50, 41,707.94 and 21,524.80

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Solution

The fourth proportional to 27,834.50, 41,707.94 and 21,524.80 is: 32,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.50 : 41,707.94 = 21,524.80 : x
  2. Step 2: Convert to fraction form
    27,834.50/41,707.94 = 21,524.80/x
  3. Step 3: Cross multiply
    27,834.50x = 41,707.94 × 21,524.80
  4. Step 4: Simplify right side
    27,834.50x = 897,755,066.91
  5. Step 5: Solve for x
    x = 897,755,066.91/27,834.50
  6. Step 6: Final answer
    x = 32,253.32

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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.