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Finding the Fourth Proportional to 100,650.32, 150,948.48 and 47,954.96

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Solution

The fourth proportional to 100,650.32, 150,948.48 and 47,954.96 is: 71,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,650.32 : 150,948.48 = 47,954.96 : x
  2. Step 2: Convert to fraction form
    100,650.32/150,948.48 = 47,954.96/x
  3. Step 3: Cross multiply
    100,650.32x = 150,948.48 × 47,954.96
  4. Step 4: Simplify right side
    100,650.32x = 7,238,728,320.46
  5. Step 5: Solve for x
    x = 7,238,728,320.46/100,650.32
  6. Step 6: Final answer
    x = 71,919.58

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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.