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Finding the Fourth Proportional to 33,232.80, 49,978.80 and 29,863.20

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Solution

The fourth proportional to 33,232.80, 49,978.80 and 29,863.20 is: 44,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.80 : 49,978.80 = 29,863.20 : x
  2. Step 2: Convert to fraction form
    33,232.80/49,978.80 = 29,863.20/x
  3. Step 3: Cross multiply
    33,232.80x = 49,978.80 × 29,863.20
  4. Step 4: Simplify right side
    33,232.80x = 1,492,526,900.16
  5. Step 5: Solve for x
    x = 1,492,526,900.16/33,232.80
  6. Step 6: Final answer
    x = 44,911.26

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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.