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Finding the Fourth Proportional to 100,632.68, 150,954.18 and 25,753.48

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Solution

The fourth proportional to 100,632.68, 150,954.18 and 25,753.48 is: 38,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.68 : 150,954.18 = 25,753.48 : x
  2. Step 2: Convert to fraction form
    100,632.68/150,954.18 = 25,753.48/x
  3. Step 3: Cross multiply
    100,632.68x = 150,954.18 × 25,753.48
  4. Step 4: Simplify right side
    100,632.68x = 3,887,595,455.55
  5. Step 5: Solve for x
    x = 3,887,595,455.55/100,632.68
  6. Step 6: Final answer
    x = 38,631.54

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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.