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Finding the Fourth Proportional to 110,232, 165,348 and 27,126

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Solution

The fourth proportional to 110,232, 165,348 and 27,126 is: 40,689

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,232 : 165,348 = 27,126 : x
  2. Step 2: Convert to fraction form
    110,232/165,348 = 27,126/x
  3. Step 3: Cross multiply
    110,232x = 165,348 × 27,126
  4. Step 4: Simplify right side
    110,232x = 4,485,229,848
  5. Step 5: Solve for x
    x = 4,485,229,848/110,232
  6. Step 6: Final answer
    x = 40,689

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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.