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Finding the Fourth Proportional to 67,358.36, 101,026.66 and 31,819.60

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Solution

The fourth proportional to 67,358.36, 101,026.66 and 31,819.60 is: 47,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,358.36 : 101,026.66 = 31,819.60 : x
  2. Step 2: Convert to fraction form
    67,358.36/101,026.66 = 31,819.60/x
  3. Step 3: Cross multiply
    67,358.36x = 101,026.66 × 31,819.60
  4. Step 4: Simplify right side
    67,358.36x = 3,214,627,910.54
  5. Step 5: Solve for x
    x = 3,214,627,910.54/67,358.36
  6. Step 6: Final answer
    x = 47,724.26

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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.