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Finding the Fourth Proportional to 100,577.92, 150,844.80 and 30,438.40

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Solution

The fourth proportional to 100,577.92, 150,844.80 and 30,438.40 is: 45,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.92 : 150,844.80 = 30,438.40 : x
  2. Step 2: Convert to fraction form
    100,577.92/150,844.80 = 30,438.40/x
  3. Step 3: Cross multiply
    100,577.92x = 150,844.80 × 30,438.40
  4. Step 4: Simplify right side
    100,577.92x = 4,591,474,360.32
  5. Step 5: Solve for x
    x = 4,591,474,360.32/100,577.92
  6. Step 6: Final answer
    x = 45,650.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.