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Finding the Fourth Proportional to 29,764.80, 44,647.20 and 7,578.32

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Solution

The fourth proportional to 29,764.80, 44,647.20 and 7,578.32 is: 11,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764.80 : 44,647.20 = 7,578.32 : x
  2. Step 2: Convert to fraction form
    29,764.80/44,647.20 = 7,578.32/x
  3. Step 3: Cross multiply
    29,764.80x = 44,647.20 × 7,578.32
  4. Step 4: Simplify right side
    29,764.80x = 338,350,768.70
  5. Step 5: Solve for x
    x = 338,350,768.70/29,764.80
  6. Step 6: Final answer
    x = 11,367.48

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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.