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Finding the Fourth Proportional to 83,355.73, 115,023.61 and 49,358.11

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Solution

The fourth proportional to 83,355.73, 115,023.61 and 49,358.11 is: 68,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355.73 : 115,023.61 = 49,358.11 : x
  2. Step 2: Convert to fraction form
    83,355.73/115,023.61 = 49,358.11/x
  3. Step 3: Cross multiply
    83,355.73x = 115,023.61 × 49,358.11
  4. Step 4: Simplify right side
    83,355.73x = 5,677,347,994.98
  5. Step 5: Solve for x
    x = 5,677,347,994.98/83,355.73
  6. Step 6: Final answer
    x = 68,109.87

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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.