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Finding the Fourth Proportional to 76,647.80, 114,989.00 and 23,344.55

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Solution

The fourth proportional to 76,647.80, 114,989.00 and 23,344.55 is: 35,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647.80 : 114,989.00 = 23,344.55 : x
  2. Step 2: Convert to fraction form
    76,647.80/114,989.00 = 23,344.55/x
  3. Step 3: Cross multiply
    76,647.80x = 114,989.00 × 23,344.55
  4. Step 4: Simplify right side
    76,647.80x = 2,684,365,768.28
  5. Step 5: Solve for x
    x = 2,684,365,768.28/76,647.80
  6. Step 6: Final answer
    x = 35,022.09

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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.