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Finding the Fourth Proportional to 102,481.28, 153,628.32 and 35,885

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Solution

The fourth proportional to 102,481.28, 153,628.32 and 35,885 is: 53,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.28 : 153,628.32 = 35,885 : x
  2. Step 2: Convert to fraction form
    102,481.28/153,628.32 = 35,885/x
  3. Step 3: Cross multiply
    102,481.28x = 153,628.32 × 35,885
  4. Step 4: Simplify right side
    102,481.28x = 5,512,952,263.20
  5. Step 5: Solve for x
    x = 5,512,952,263.20/102,481.28
  6. Step 6: Final answer
    x = 53,794.72

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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.