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Finding the Fourth Proportional to 29,633.80, 44,342.70 and 21,857.80

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Solution

The fourth proportional to 29,633.80, 44,342.70 and 21,857.80 is: 32,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.80 : 44,342.70 = 21,857.80 : x
  2. Step 2: Convert to fraction form
    29,633.80/44,342.70 = 21,857.80/x
  3. Step 3: Cross multiply
    29,633.80x = 44,342.70 × 21,857.80
  4. Step 4: Simplify right side
    29,633.80x = 969,233,868.06
  5. Step 5: Solve for x
    x = 969,233,868.06/29,633.80
  6. Step 6: Final answer
    x = 32,707.04

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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.