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Finding the Fourth Proportional to 100,462.08, 150,742.08 and 41,315.52

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Solution

The fourth proportional to 100,462.08, 150,742.08 and 41,315.52 is: 61,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,462.08 : 150,742.08 = 41,315.52 : x
  2. Step 2: Convert to fraction form
    100,462.08/150,742.08 = 41,315.52/x
  3. Step 3: Cross multiply
    100,462.08x = 150,742.08 × 41,315.52
  4. Step 4: Simplify right side
    100,462.08x = 6,227,987,421.08
  5. Step 5: Solve for x
    x = 6,227,987,421.08/100,462.08
  6. Step 6: Final answer
    x = 61,993.42

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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.