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Finding the Fourth Proportional to 45,320.80, 68,024.44 and 27,824.80

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Solution

The fourth proportional to 45,320.80, 68,024.44 and 27,824.80 is: 41,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320.80 : 68,024.44 = 27,824.80 : x
  2. Step 2: Convert to fraction form
    45,320.80/68,024.44 = 27,824.80/x
  3. Step 3: Cross multiply
    45,320.80x = 68,024.44 × 27,824.80
  4. Step 4: Simplify right side
    45,320.80x = 1,892,766,438.11
  5. Step 5: Solve for x
    x = 1,892,766,438.11/45,320.80
  6. Step 6: Final answer
    x = 41,763.75

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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.