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Finding the Fourth Proportional to 69,149.55, 103,735.23 and 24,775.32

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Solution

The fourth proportional to 69,149.55, 103,735.23 and 24,775.32 is: 37,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.55 : 103,735.23 = 24,775.32 : x
  2. Step 2: Convert to fraction form
    69,149.55/103,735.23 = 24,775.32/x
  3. Step 3: Cross multiply
    69,149.55x = 103,735.23 × 24,775.32
  4. Step 4: Simplify right side
    69,149.55x = 2,570,073,370.47
  5. Step 5: Solve for x
    x = 2,570,073,370.47/69,149.55
  6. Step 6: Final answer
    x = 37,166.89

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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.