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Finding the Fourth Proportional to 100,577.92, 150,886.34 and 34,028.90

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Solution

The fourth proportional to 100,577.92, 150,886.34 and 34,028.90 is: 51,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.92 : 150,886.34 = 34,028.90 : x
  2. Step 2: Convert to fraction form
    100,577.92/150,886.34 = 34,028.90/x
  3. Step 3: Cross multiply
    100,577.92x = 150,886.34 × 34,028.90
  4. Step 4: Simplify right side
    100,577.92x = 5,134,496,175.23
  5. Step 5: Solve for x
    x = 5,134,496,175.23/100,577.92
  6. Step 6: Final answer
    x = 51,049.93

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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.