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Finding the Fourth Proportional to 138,546.74, 207,820.17 and 33,365.67

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Solution

The fourth proportional to 138,546.74, 207,820.17 and 33,365.67 is: 50,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546.74 : 207,820.17 = 33,365.67 : x
  2. Step 2: Convert to fraction form
    138,546.74/207,820.17 = 33,365.67/x
  3. Step 3: Cross multiply
    138,546.74x = 207,820.17 × 33,365.67
  4. Step 4: Simplify right side
    138,546.74x = 6,934,059,211.56
  5. Step 5: Solve for x
    x = 6,934,059,211.56/138,546.74
  6. Step 6: Final answer
    x = 50,048.52

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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.