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Finding the Fourth Proportional to 110,371.94, 165,559.49 and 31,486.17

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Solution

The fourth proportional to 110,371.94, 165,559.49 and 31,486.17 is: 47,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,371.94 : 165,559.49 = 31,486.17 : x
  2. Step 2: Convert to fraction form
    110,371.94/165,559.49 = 31,486.17/x
  3. Step 3: Cross multiply
    110,371.94x = 165,559.49 × 31,486.17
  4. Step 4: Simplify right side
    110,371.94x = 5,212,834,247.25
  5. Step 5: Solve for x
    x = 5,212,834,247.25/110,371.94
  6. Step 6: Final answer
    x = 47,229.71

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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.