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Finding the Fourth Proportional to 100,796.92, 151,151.69 and 30,660.04

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Solution

The fourth proportional to 100,796.92, 151,151.69 and 30,660.04 is: 45,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,796.92 : 151,151.69 = 30,660.04 : x
  2. Step 2: Convert to fraction form
    100,796.92/151,151.69 = 30,660.04/x
  3. Step 3: Cross multiply
    100,796.92x = 151,151.69 × 30,660.04
  4. Step 4: Simplify right side
    100,796.92x = 4,634,316,861.47
  5. Step 5: Solve for x
    x = 4,634,316,861.47/100,796.92
  6. Step 6: Final answer
    x = 45,976.77

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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.