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Finding the Fourth Proportional to 76,802, 115,203 and 18,434

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Solution

The fourth proportional to 76,802, 115,203 and 18,434 is: 27,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802 : 115,203 = 18,434 : x
  2. Step 2: Convert to fraction form
    76,802/115,203 = 18,434/x
  3. Step 3: Cross multiply
    76,802x = 115,203 × 18,434
  4. Step 4: Simplify right side
    76,802x = 2,123,652,102
  5. Step 5: Solve for x
    x = 2,123,652,102/76,802
  6. Step 6: Final answer
    x = 27,651

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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.