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Finding the Fourth Proportional to 38,006.39, 57,009.57 and 10,304.39

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Solution

The fourth proportional to 38,006.39, 57,009.57 and 10,304.39 is: 15,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.39 : 57,009.57 = 10,304.39 : x
  2. Step 2: Convert to fraction form
    38,006.39/57,009.57 = 10,304.39/x
  3. Step 3: Cross multiply
    38,006.39x = 57,009.57 × 10,304.39
  4. Step 4: Simplify right side
    38,006.39x = 587,448,843.01
  5. Step 5: Solve for x
    x = 587,448,843.01/38,006.39
  6. Step 6: Final answer
    x = 15,456.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.