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Finding the Fourth Proportional to 83,613.37, 115,378.83 and 49,616

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Solution

The fourth proportional to 83,613.37, 115,378.83 and 49,616 is: 68,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,613.37 : 115,378.83 = 49,616 : x
  2. Step 2: Convert to fraction form
    83,613.37/115,378.83 = 49,616/x
  3. Step 3: Cross multiply
    83,613.37x = 115,378.83 × 49,616
  4. Step 4: Simplify right side
    83,613.37x = 5,724,636,029.28
  5. Step 5: Solve for x
    x = 5,724,636,029.28/83,613.37
  6. Step 6: Final answer
    x = 68,465.56

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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.