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Finding the Fourth Proportional to 38,003.50, 57,006.06 and 13,043.44

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Solution

The fourth proportional to 38,003.50, 57,006.06 and 13,043.44 is: 19,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.50 : 57,006.06 = 13,043.44 : x
  2. Step 2: Convert to fraction form
    38,003.50/57,006.06 = 13,043.44/x
  3. Step 3: Cross multiply
    38,003.50x = 57,006.06 × 13,043.44
  4. Step 4: Simplify right side
    38,003.50x = 743,555,123.25
  5. Step 5: Solve for x
    x = 743,555,123.25/38,003.50
  6. Step 6: Final answer
    x = 19,565.44

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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.