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Finding the Fourth Proportional to 101,104, 151,656 and 27,232

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Solution

The fourth proportional to 101,104, 151,656 and 27,232 is: 40,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,104 : 151,656 = 27,232 : x
  2. Step 2: Convert to fraction form
    101,104/151,656 = 27,232/x
  3. Step 3: Cross multiply
    101,104x = 151,656 × 27,232
  4. Step 4: Simplify right side
    101,104x = 4,129,896,192
  5. Step 5: Solve for x
    x = 4,129,896,192/101,104
  6. Step 6: Final answer
    x = 40,848

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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.