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Finding the Fourth Proportional to 38,530.80, 57,796.20 and 29,782.80

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Solution

The fourth proportional to 38,530.80, 57,796.20 and 29,782.80 is: 44,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.80 : 57,796.20 = 29,782.80 : x
  2. Step 2: Convert to fraction form
    38,530.80/57,796.20 = 29,782.80/x
  3. Step 3: Cross multiply
    38,530.80x = 57,796.20 × 29,782.80
  4. Step 4: Simplify right side
    38,530.80x = 1,721,332,665.36
  5. Step 5: Solve for x
    x = 1,721,332,665.36/38,530.80
  6. Step 6: Final answer
    x = 44,674.20

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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.