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Finding the Fourth Proportional to 83,932.78, 115,827.26 and 46,206.76

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Solution

The fourth proportional to 83,932.78, 115,827.26 and 46,206.76 is: 63,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,932.78 : 115,827.26 = 46,206.76 : x
  2. Step 2: Convert to fraction form
    83,932.78/115,827.26 = 46,206.76/x
  3. Step 3: Cross multiply
    83,932.78x = 115,827.26 × 46,206.76
  4. Step 4: Simplify right side
    83,932.78x = 5,352,002,404.28
  5. Step 5: Solve for x
    x = 5,352,002,404.28/83,932.78
  6. Step 6: Final answer
    x = 63,765.34

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