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Finding the Fourth Proportional to 38,382.04, 57,548.22 and 16,189.46

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Solution

The fourth proportional to 38,382.04, 57,548.22 and 16,189.46 is: 24,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.04 : 57,548.22 = 16,189.46 : x
  2. Step 2: Convert to fraction form
    38,382.04/57,548.22 = 16,189.46/x
  3. Step 3: Cross multiply
    38,382.04x = 57,548.22 × 16,189.46
  4. Step 4: Simplify right side
    38,382.04x = 931,674,605.76
  5. Step 5: Solve for x
    x = 931,674,605.76/38,382.04
  6. Step 6: Final answer
    x = 24,273.71

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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.