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Finding the Fourth Proportional to 110,104.53, 165,156.75 and 31,219.44

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Solution

The fourth proportional to 110,104.53, 165,156.75 and 31,219.44 is: 46,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,104.53 : 165,156.75 = 31,219.44 : x
  2. Step 2: Convert to fraction form
    110,104.53/165,156.75 = 31,219.44/x
  3. Step 3: Cross multiply
    110,104.53x = 165,156.75 × 31,219.44
  4. Step 4: Simplify right side
    110,104.53x = 5,156,101,247.22
  5. Step 5: Solve for x
    x = 5,156,101,247.22/110,104.53
  6. Step 6: Final answer
    x = 46,829.15

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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.