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Finding the Fourth Proportional to 100,249.01, 150,360.92 and 32,775.40

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Solution

The fourth proportional to 100,249.01, 150,360.92 and 32,775.40 is: 49,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,249.01 : 150,360.92 = 32,775.40 : x
  2. Step 2: Convert to fraction form
    100,249.01/150,360.92 = 32,775.40/x
  3. Step 3: Cross multiply
    100,249.01x = 150,360.92 × 32,775.40
  4. Step 4: Simplify right side
    100,249.01x = 4,928,139,628.71
  5. Step 5: Solve for x
    x = 4,928,139,628.71/100,249.01
  6. Step 6: Final answer
    x = 49,158.99

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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.