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Finding the Fourth Proportional to 104,902.14, 157,375.63 and 33,828.82

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Solution

The fourth proportional to 104,902.14, 157,375.63 and 33,828.82 is: 50,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,902.14 : 157,375.63 = 33,828.82 : x
  2. Step 2: Convert to fraction form
    104,902.14/157,375.63 = 33,828.82/x
  3. Step 3: Cross multiply
    104,902.14x = 157,375.63 × 33,828.82
  4. Step 4: Simplify right side
    104,902.14x = 5,323,832,098.66
  5. Step 5: Solve for x
    x = 5,323,832,098.66/104,902.14
  6. Step 6: Final answer
    x = 50,750.46

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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.