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Finding the Fourth Proportional to 29,616, 44,254.24 and 22,556.80

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Solution

The fourth proportional to 29,616, 44,254.24 and 22,556.80 is: 33,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616 : 44,254.24 = 22,556.80 : x
  2. Step 2: Convert to fraction form
    29,616/44,254.24 = 22,556.80/x
  3. Step 3: Cross multiply
    29,616x = 44,254.24 × 22,556.80
  4. Step 4: Simplify right side
    29,616x = 998,234,040.83
  5. Step 5: Solve for x
    x = 998,234,040.83/29,616
  6. Step 6: Final answer
    x = 33,705.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.