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Finding the Fourth Proportional to 76,608.92, 114,913.38 and 24,022.64

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Solution

The fourth proportional to 76,608.92, 114,913.38 and 24,022.64 is: 36,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.92 : 114,913.38 = 24,022.64 : x
  2. Step 2: Convert to fraction form
    76,608.92/114,913.38 = 24,022.64/x
  3. Step 3: Cross multiply
    76,608.92x = 114,913.38 × 24,022.64
  4. Step 4: Simplify right side
    76,608.92x = 2,760,522,758.92
  5. Step 5: Solve for x
    x = 2,760,522,758.92/76,608.92
  6. Step 6: Final answer
    x = 36,033.96

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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.