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Finding the Fourth Proportional to 100,258.08, 150,372 and 33,695.52

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Solution

The fourth proportional to 100,258.08, 150,372 and 33,695.52 is: 50,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.08 : 150,372 = 33,695.52 : x
  2. Step 2: Convert to fraction form
    100,258.08/150,372 = 33,695.52/x
  3. Step 3: Cross multiply
    100,258.08x = 150,372 × 33,695.52
  4. Step 4: Simplify right side
    100,258.08x = 5,066,862,733.44
  5. Step 5: Solve for x
    x = 5,066,862,733.44/100,258.08
  6. Step 6: Final answer
    x = 50,538.20

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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.