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Finding the Fourth Proportional to 29,782.62, 44,883.11 and 26,824.77

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Solution

The fourth proportional to 29,782.62, 44,883.11 and 26,824.77 is: 40,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.62 : 44,883.11 = 26,824.77 : x
  2. Step 2: Convert to fraction form
    29,782.62/44,883.11 = 26,824.77/x
  3. Step 3: Cross multiply
    29,782.62x = 44,883.11 × 26,824.77
  4. Step 4: Simplify right side
    29,782.62x = 1,203,979,136.82
  5. Step 5: Solve for x
    x = 1,203,979,136.82/29,782.62
  6. Step 6: Final answer
    x = 40,425.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.