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Finding the Fourth Proportional to 68,046.30, 93,879 and 41,178.96

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Solution

The fourth proportional to 68,046.30, 93,879 and 41,178.96 is: 56,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.30 : 93,879 = 41,178.96 : x
  2. Step 2: Convert to fraction form
    68,046.30/93,879 = 41,178.96/x
  3. Step 3: Cross multiply
    68,046.30x = 93,879 × 41,178.96
  4. Step 4: Simplify right side
    68,046.30x = 3,865,839,585.84
  5. Step 5: Solve for x
    x = 3,865,839,585.84/68,046.30
  6. Step 6: Final answer
    x = 56,811.90

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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.