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Finding the Fourth Proportional to 100,693.92, 151,046.45 and 33,223.29

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Solution

The fourth proportional to 100,693.92, 151,046.45 and 33,223.29 is: 49,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.92 : 151,046.45 = 33,223.29 : x
  2. Step 2: Convert to fraction form
    100,693.92/151,046.45 = 33,223.29/x
  3. Step 3: Cross multiply
    100,693.92x = 151,046.45 × 33,223.29
  4. Step 4: Simplify right side
    100,693.92x = 5,018,260,011.82
  5. Step 5: Solve for x
    x = 5,018,260,011.82/100,693.92
  6. Step 6: Final answer
    x = 49,836.77

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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.