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Finding the Fourth Proportional to 71,164.83, 106,735.14 and 23,774.55

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Solution

The fourth proportional to 71,164.83, 106,735.14 and 23,774.55 is: 35,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.83 : 106,735.14 = 23,774.55 : x
  2. Step 2: Convert to fraction form
    71,164.83/106,735.14 = 23,774.55/x
  3. Step 3: Cross multiply
    71,164.83x = 106,735.14 × 23,774.55
  4. Step 4: Simplify right side
    71,164.83x = 2,537,579,922.69
  5. Step 5: Solve for x
    x = 2,537,579,922.69/71,164.83
  6. Step 6: Final answer
    x = 35,657.78

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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.