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Finding the Fourth Proportional to 29,822.80, 44,695.32 and 12,272.80

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Solution

The fourth proportional to 29,822.80, 44,695.32 and 12,272.80 is: 18,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.80 : 44,695.32 = 12,272.80 : x
  2. Step 2: Convert to fraction form
    29,822.80/44,695.32 = 12,272.80/x
  3. Step 3: Cross multiply
    29,822.80x = 44,695.32 × 12,272.80
  4. Step 4: Simplify right side
    29,822.80x = 548,536,723.30
  5. Step 5: Solve for x
    x = 548,536,723.30/29,822.80
  6. Step 6: Final answer
    x = 18,393.20

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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.