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Finding the Fourth Proportional to 10,029.44, 15,046.32 and 3,009.44

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Solution

The fourth proportional to 10,029.44, 15,046.32 and 3,009.44 is: 4,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.44 : 15,046.32 = 3,009.44 : x
  2. Step 2: Convert to fraction form
    10,029.44/15,046.32 = 3,009.44/x
  3. Step 3: Cross multiply
    10,029.44x = 15,046.32 × 3,009.44
  4. Step 4: Simplify right side
    10,029.44x = 45,280,997.26
  5. Step 5: Solve for x
    x = 45,280,997.26/10,029.44
  6. Step 6: Final answer
    x = 4,514.81

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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.