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Finding the Fourth Proportional to 30,998, 42,889.84 and 27,027.38

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Solution

The fourth proportional to 30,998, 42,889.84 and 27,027.38 is: 37,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 42,889.84 = 27,027.38 : x
  2. Step 2: Convert to fraction form
    30,998/42,889.84 = 27,027.38/x
  3. Step 3: Cross multiply
    30,998x = 42,889.84 × 27,027.38
  4. Step 4: Simplify right side
    30,998x = 1,159,200,003.82
  5. Step 5: Solve for x
    x = 1,159,200,003.82/30,998
  6. Step 6: Final answer
    x = 37,395.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.