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Finding the Fourth Proportional to 76,672.40, 115,012.20 and 24,083.60

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Solution

The fourth proportional to 76,672.40, 115,012.20 and 24,083.60 is: 36,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,672.40 : 115,012.20 = 24,083.60 : x
  2. Step 2: Convert to fraction form
    76,672.40/115,012.20 = 24,083.60/x
  3. Step 3: Cross multiply
    76,672.40x = 115,012.20 × 24,083.60
  4. Step 4: Simplify right side
    76,672.40x = 2,769,907,819.92
  5. Step 5: Solve for x
    x = 2,769,907,819.92/76,672.40
  6. Step 6: Final answer
    x = 36,126.53

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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.