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Finding the Fourth Proportional to 38,029.50, 57,044.48 and 10,327.50

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Solution

The fourth proportional to 38,029.50, 57,044.48 and 10,327.50 is: 15,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,029.50 : 57,044.48 = 10,327.50 : x
  2. Step 2: Convert to fraction form
    38,029.50/57,044.48 = 10,327.50/x
  3. Step 3: Cross multiply
    38,029.50x = 57,044.48 × 10,327.50
  4. Step 4: Simplify right side
    38,029.50x = 589,126,815.56
  5. Step 5: Solve for x
    x = 589,126,815.56/38,029.50
  6. Step 6: Final answer
    x = 15,491.31

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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.