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Finding the Fourth Proportional to 81,864, 112,977.59 and 49,620.87

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Solution

The fourth proportional to 81,864, 112,977.59 and 49,620.87 is: 68,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 112,977.59 = 49,620.87 : x
  2. Step 2: Convert to fraction form
    81,864/112,977.59 = 49,620.87/x
  3. Step 3: Cross multiply
    81,864x = 112,977.59 × 49,620.87
  4. Step 4: Simplify right side
    81,864x = 5,606,046,058.20
  5. Step 5: Solve for x
    x = 5,606,046,058.20/81,864
  6. Step 6: Final answer
    x = 68,479.99

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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.