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Finding the Fourth Proportional to 38,382, 57,548.26 and 16,189.44

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Solution

The fourth proportional to 38,382, 57,548.26 and 16,189.44 is: 24,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382 : 57,548.26 = 16,189.44 : x
  2. Step 2: Convert to fraction form
    38,382/57,548.26 = 16,189.44/x
  3. Step 3: Cross multiply
    38,382x = 57,548.26 × 16,189.44
  4. Step 4: Simplify right side
    38,382x = 931,674,102.37
  5. Step 5: Solve for x
    x = 931,674,102.37/38,382
  6. Step 6: Final answer
    x = 24,273.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.