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Finding the Fourth Proportional to 76,593.60, 114,976.80 and 59,140.80

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Solution

The fourth proportional to 76,593.60, 114,976.80 and 59,140.80 is: 88,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,593.60 : 114,976.80 = 59,140.80 : x
  2. Step 2: Convert to fraction form
    76,593.60/114,976.80 = 59,140.80/x
  3. Step 3: Cross multiply
    76,593.60x = 114,976.80 × 59,140.80
  4. Step 4: Simplify right side
    76,593.60x = 6,799,819,933.44
  5. Step 5: Solve for x
    x = 6,799,819,933.44/76,593.60
  6. Step 6: Final answer
    x = 88,777.91

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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.