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Finding the Fourth Proportional to 29,822.64, 44,716.44 and 12,271.44

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Solution

The fourth proportional to 29,822.64, 44,716.44 and 12,271.44 is: 18,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.64 : 44,716.44 = 12,271.44 : x
  2. Step 2: Convert to fraction form
    29,822.64/44,716.44 = 12,271.44/x
  3. Step 3: Cross multiply
    29,822.64x = 44,716.44 × 12,271.44
  4. Step 4: Simplify right side
    29,822.64x = 548,735,110.47
  5. Step 5: Solve for x
    x = 548,735,110.47/29,822.64
  6. Step 6: Final answer
    x = 18,399.95

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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.