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Finding the Fourth Proportional to 111,710.63, 167,578.26 and 32,831

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Solution

The fourth proportional to 111,710.63, 167,578.26 and 32,831 is: 49,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,710.63 : 167,578.26 = 32,831 : x
  2. Step 2: Convert to fraction form
    111,710.63/167,578.26 = 32,831/x
  3. Step 3: Cross multiply
    111,710.63x = 167,578.26 × 32,831
  4. Step 4: Simplify right side
    111,710.63x = 5,501,761,854.06
  5. Step 5: Solve for x
    x = 5,501,761,854.06/111,710.63
  6. Step 6: Final answer
    x = 49,250.12

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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.