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Finding the Fourth Proportional to 76,165.92, 114,274.80 and 39,204

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Solution

The fourth proportional to 76,165.92, 114,274.80 and 39,204 is: 58,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165.92 : 114,274.80 = 39,204 : x
  2. Step 2: Convert to fraction form
    76,165.92/114,274.80 = 39,204/x
  3. Step 3: Cross multiply
    76,165.92x = 114,274.80 × 39,204
  4. Step 4: Simplify right side
    76,165.92x = 4,480,029,259.20
  5. Step 5: Solve for x
    x = 4,480,029,259.20/76,165.92
  6. Step 6: Final answer
    x = 58,819.34

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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.