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Finding the Fourth Proportional to 61,223.20, 91,834.80 and 21,824.80

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Solution

The fourth proportional to 61,223.20, 91,834.80 and 21,824.80 is: 32,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223.20 : 91,834.80 = 21,824.80 : x
  2. Step 2: Convert to fraction form
    61,223.20/91,834.80 = 21,824.80/x
  3. Step 3: Cross multiply
    61,223.20x = 91,834.80 × 21,824.80
  4. Step 4: Simplify right side
    61,223.20x = 2,004,276,143.04
  5. Step 5: Solve for x
    x = 2,004,276,143.04/61,223.20
  6. Step 6: Final answer
    x = 32,737.20

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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.