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Finding the Fourth Proportional to 54,863.50, 75,711.63 and 29,713

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Solution

The fourth proportional to 54,863.50, 75,711.63 and 29,713 is: 41,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.50 : 75,711.63 = 29,713 : x
  2. Step 2: Convert to fraction form
    54,863.50/75,711.63 = 29,713/x
  3. Step 3: Cross multiply
    54,863.50x = 75,711.63 × 29,713
  4. Step 4: Simplify right side
    54,863.50x = 2,249,619,662.19
  5. Step 5: Solve for x
    x = 2,249,619,662.19/54,863.50
  6. Step 6: Final answer
    x = 41,003.94

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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.