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Finding the Fourth Proportional to 76,934.66, 106,226.07 and 49,726.84

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Solution

The fourth proportional to 76,934.66, 106,226.07 and 49,726.84 is: 68,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934.66 : 106,226.07 = 49,726.84 : x
  2. Step 2: Convert to fraction form
    76,934.66/106,226.07 = 49,726.84/x
  3. Step 3: Cross multiply
    76,934.66x = 106,226.07 × 49,726.84
  4. Step 4: Simplify right side
    76,934.66x = 5,282,286,786.72
  5. Step 5: Solve for x
    x = 5,282,286,786.72/76,934.66
  6. Step 6: Final answer
    x = 68,659.39

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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.