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Finding the Fourth Proportional to 83,378.36, 115,073.26 and 49,384.10

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Solution

The fourth proportional to 83,378.36, 115,073.26 and 49,384.10 is: 68,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.36 : 115,073.26 = 49,384.10 : x
  2. Step 2: Convert to fraction form
    83,378.36/115,073.26 = 49,384.10/x
  3. Step 3: Cross multiply
    83,378.36x = 115,073.26 × 49,384.10
  4. Step 4: Simplify right side
    83,378.36x = 5,682,789,379.17
  5. Step 5: Solve for x
    x = 5,682,789,379.17/83,378.36
  6. Step 6: Final answer
    x = 68,156.65

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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.