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Finding the Fourth Proportional to 110,227.77, 165,369.41 and 31,342

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Solution

The fourth proportional to 110,227.77, 165,369.41 and 31,342 is: 47,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,227.77 : 165,369.41 = 31,342 : x
  2. Step 2: Convert to fraction form
    110,227.77/165,369.41 = 31,342/x
  3. Step 3: Cross multiply
    110,227.77x = 165,369.41 × 31,342
  4. Step 4: Simplify right side
    110,227.77x = 5,183,008,048.22
  5. Step 5: Solve for x
    x = 5,183,008,048.22/110,227.77
  6. Step 6: Final answer
    x = 47,020.89

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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.