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Finding the Fourth Proportional to 71,759.94, 107,640.45 and 25,012.86

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Solution

The fourth proportional to 71,759.94, 107,640.45 and 25,012.86 is: 37,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,759.94 : 107,640.45 = 25,012.86 : x
  2. Step 2: Convert to fraction form
    71,759.94/107,640.45 = 25,012.86/x
  3. Step 3: Cross multiply
    71,759.94x = 107,640.45 × 25,012.86
  4. Step 4: Simplify right side
    71,759.94x = 2,692,395,506.19
  5. Step 5: Solve for x
    x = 2,692,395,506.19/71,759.94
  6. Step 6: Final answer
    x = 37,519.48

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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.