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Finding the Fourth Proportional to 70,717.82, 106,111.26 and 33,281.64

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Solution

The fourth proportional to 70,717.82, 106,111.26 and 33,281.64 is: 49,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,717.82 : 106,111.26 = 33,281.64 : x
  2. Step 2: Convert to fraction form
    70,717.82/106,111.26 = 33,281.64/x
  3. Step 3: Cross multiply
    70,717.82x = 106,111.26 × 33,281.64
  4. Step 4: Simplify right side
    70,717.82x = 3,531,556,755.27
  5. Step 5: Solve for x
    x = 3,531,556,755.27/70,717.82
  6. Step 6: Final answer
    x = 49,938.71

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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.