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Finding the Fourth Proportional to 38,084.27, 57,125.80 and 10,382.27

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Solution

The fourth proportional to 38,084.27, 57,125.80 and 10,382.27 is: 15,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084.27 : 57,125.80 = 10,382.27 : x
  2. Step 2: Convert to fraction form
    38,084.27/57,125.80 = 10,382.27/x
  3. Step 3: Cross multiply
    38,084.27x = 57,125.80 × 10,382.27
  4. Step 4: Simplify right side
    38,084.27x = 593,095,596.42
  5. Step 5: Solve for x
    x = 593,095,596.42/38,084.27
  6. Step 6: Final answer
    x = 15,573.24

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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.