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Finding the Fourth Proportional to 38,049, 57,093.12 and 16,995.48

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Solution

The fourth proportional to 38,049, 57,093.12 and 16,995.48 is: 25,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049 : 57,093.12 = 16,995.48 : x
  2. Step 2: Convert to fraction form
    38,049/57,093.12 = 16,995.48/x
  3. Step 3: Cross multiply
    38,049x = 57,093.12 × 16,995.48
  4. Step 4: Simplify right side
    38,049x = 970,324,979.10
  5. Step 5: Solve for x
    x = 970,324,979.10/38,049
  6. Step 6: Final answer
    x = 25,501.98

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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.