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Finding the Fourth Proportional to 100,796.52, 151,164.02 and 34,221.84

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Solution

The fourth proportional to 100,796.52, 151,164.02 and 34,221.84 is: 51,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,796.52 : 151,164.02 = 34,221.84 : x
  2. Step 2: Convert to fraction form
    100,796.52/151,164.02 = 34,221.84/x
  3. Step 3: Cross multiply
    100,796.52x = 151,164.02 × 34,221.84
  4. Step 4: Simplify right side
    100,796.52x = 5,173,110,906.20
  5. Step 5: Solve for x
    x = 5,173,110,906.20/100,796.52
  6. Step 6: Final answer
    x = 51,322.32

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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.