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Finding the Fourth Proportional to 76,825.60, 115,324.80 and 59,372.80

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Solution

The fourth proportional to 76,825.60, 115,324.80 and 59,372.80 is: 89,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825.60 : 115,324.80 = 59,372.80 : x
  2. Step 2: Convert to fraction form
    76,825.60/115,324.80 = 59,372.80/x
  3. Step 3: Cross multiply
    76,825.60x = 115,324.80 × 59,372.80
  4. Step 4: Simplify right side
    76,825.60x = 6,847,156,285.44
  5. Step 5: Solve for x
    x = 6,847,156,285.44/76,825.60
  6. Step 6: Final answer
    x = 89,125.97

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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.