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Finding the Fourth Proportional to 81,794.96, 112,869.24 and 47,811.40

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Solution

The fourth proportional to 81,794.96, 112,869.24 and 47,811.40 is: 65,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.96 : 112,869.24 = 47,811.40 : x
  2. Step 2: Convert to fraction form
    81,794.96/112,869.24 = 47,811.40/x
  3. Step 3: Cross multiply
    81,794.96x = 112,869.24 × 47,811.40
  4. Step 4: Simplify right side
    81,794.96x = 5,396,436,381.34
  5. Step 5: Solve for x
    x = 5,396,436,381.34/81,794.96
  6. Step 6: Final answer
    x = 65,975.17

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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.