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Finding the Fourth Proportional to 100,577.72, 150,846.56 and 49,923.90

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Solution

The fourth proportional to 100,577.72, 150,846.56 and 49,923.90 is: 74,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.72 : 150,846.56 = 49,923.90 : x
  2. Step 2: Convert to fraction form
    100,577.72/150,846.56 = 49,923.90/x
  3. Step 3: Cross multiply
    100,577.72x = 150,846.56 × 49,923.90
  4. Step 4: Simplify right side
    100,577.72x = 7,530,848,576.78
  5. Step 5: Solve for x
    x = 7,530,848,576.78/100,577.72
  6. Step 6: Final answer
    x = 74,875.91

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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.