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Finding the Fourth Proportional to 76,951.64, 115,439.58 and 32,578.64

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Solution

The fourth proportional to 76,951.64, 115,439.58 and 32,578.64 is: 48,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.64 : 115,439.58 = 32,578.64 : x
  2. Step 2: Convert to fraction form
    76,951.64/115,439.58 = 32,578.64/x
  3. Step 3: Cross multiply
    76,951.64x = 115,439.58 × 32,578.64
  4. Step 4: Simplify right side
    76,951.64x = 3,760,864,518.57
  5. Step 5: Solve for x
    x = 3,760,864,518.57/76,951.64
  6. Step 6: Final answer
    x = 48,873.09

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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.