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Finding the Fourth Proportional to 38,072, 57,127.44 and 17,018.48

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Solution

The fourth proportional to 38,072, 57,127.44 and 17,018.48 is: 25,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072 : 57,127.44 = 17,018.48 : x
  2. Step 2: Convert to fraction form
    38,072/57,127.44 = 17,018.48/x
  3. Step 3: Cross multiply
    38,072x = 57,127.44 × 17,018.48
  4. Step 4: Simplify right side
    38,072x = 972,222,195.09
  5. Step 5: Solve for x
    x = 972,222,195.09/38,072
  6. Step 6: Final answer
    x = 25,536.41

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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.