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Finding the Fourth Proportional to 54,811.50, 75,639.94 and 29,661

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Solution

The fourth proportional to 54,811.50, 75,639.94 and 29,661 is: 40,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.50 : 75,639.94 = 29,661 : x
  2. Step 2: Convert to fraction form
    54,811.50/75,639.94 = 29,661/x
  3. Step 3: Cross multiply
    54,811.50x = 75,639.94 × 29,661
  4. Step 4: Simplify right side
    54,811.50x = 2,243,556,260.34
  5. Step 5: Solve for x
    x = 2,243,556,260.34/54,811.50
  6. Step 6: Final answer
    x = 40,932.22

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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.