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Finding the Fourth Proportional to 38,382.34, 57,569.46 and 10,305.31

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Solution

The fourth proportional to 38,382.34, 57,569.46 and 10,305.31 is: 15,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.34 : 57,569.46 = 10,305.31 : x
  2. Step 2: Convert to fraction form
    38,382.34/57,569.46 = 10,305.31/x
  3. Step 3: Cross multiply
    38,382.34x = 57,569.46 × 10,305.31
  4. Step 4: Simplify right side
    38,382.34x = 593,271,131.83
  5. Step 5: Solve for x
    x = 593,271,131.83/38,382.34
  6. Step 6: Final answer
    x = 15,456.88

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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.