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Finding the Fourth Proportional to 97,522.74, 146,296.38 and 33,493.32

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Solution

The fourth proportional to 97,522.74, 146,296.38 and 33,493.32 is: 50,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,522.74 : 146,296.38 = 33,493.32 : x
  2. Step 2: Convert to fraction form
    97,522.74/146,296.38 = 33,493.32/x
  3. Step 3: Cross multiply
    97,522.74x = 146,296.38 × 33,493.32
  4. Step 4: Simplify right side
    97,522.74x = 4,899,951,470.18
  5. Step 5: Solve for x
    x = 4,899,951,470.18/97,522.74
  6. Step 6: Final answer
    x = 50,244.19

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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.