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Finding the Fourth Proportional to 110,006, 165,012.24 and 26,900

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Solution

The fourth proportional to 110,006, 165,012.24 and 26,900 is: 40,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,006 : 165,012.24 = 26,900 : x
  2. Step 2: Convert to fraction form
    110,006/165,012.24 = 26,900/x
  3. Step 3: Cross multiply
    110,006x = 165,012.24 × 26,900
  4. Step 4: Simplify right side
    110,006x = 4,438,829,256
  5. Step 5: Solve for x
    x = 4,438,829,256/110,006
  6. Step 6: Final answer
    x = 40,350.79

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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.