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Finding the Fourth Proportional to 83,201.82, 114,819.38 and 45,476.07

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Solution

The fourth proportional to 83,201.82, 114,819.38 and 45,476.07 is: 62,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.82 : 114,819.38 = 45,476.07 : x
  2. Step 2: Convert to fraction form
    83,201.82/114,819.38 = 45,476.07/x
  3. Step 3: Cross multiply
    83,201.82x = 114,819.38 × 45,476.07
  4. Step 4: Simplify right side
    83,201.82x = 5,221,534,162.24
  5. Step 5: Solve for x
    x = 5,221,534,162.24/83,201.82
  6. Step 6: Final answer
    x = 62,757.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.