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Finding the Fourth Proportional to 100,427.76, 150,486.04 and 63,414

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Solution

The fourth proportional to 100,427.76, 150,486.04 and 63,414 is: 95,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,427.76 : 150,486.04 = 63,414 : x
  2. Step 2: Convert to fraction form
    100,427.76/150,486.04 = 63,414/x
  3. Step 3: Cross multiply
    100,427.76x = 150,486.04 × 63,414
  4. Step 4: Simplify right side
    100,427.76x = 9,542,921,740.56
  5. Step 5: Solve for x
    x = 9,542,921,740.56/100,427.76
  6. Step 6: Final answer
    x = 95,022.75

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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.