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Finding the Fourth Proportional to 83,353.73, 115,020.86 and 49,356.11

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Solution

The fourth proportional to 83,353.73, 115,020.86 and 49,356.11 is: 68,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,353.73 : 115,020.86 = 49,356.11 : x
  2. Step 2: Convert to fraction form
    83,353.73/115,020.86 = 49,356.11/x
  3. Step 3: Cross multiply
    83,353.73x = 115,020.86 × 49,356.11
  4. Step 4: Simplify right side
    83,353.73x = 5,676,982,259.23
  5. Step 5: Solve for x
    x = 5,676,982,259.23/83,353.73
  6. Step 6: Final answer
    x = 68,107.12

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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.