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Finding the Fourth Proportional to 54,806.19, 82,217.89 and 23,216.33

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Solution

The fourth proportional to 54,806.19, 82,217.89 and 23,216.33 is: 34,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.19 : 82,217.89 = 23,216.33 : x
  2. Step 2: Convert to fraction form
    54,806.19/82,217.89 = 23,216.33/x
  3. Step 3: Cross multiply
    54,806.19x = 82,217.89 × 23,216.33
  4. Step 4: Simplify right side
    54,806.19x = 1,908,797,900.71
  5. Step 5: Solve for x
    x = 1,908,797,900.71/54,806.19
  6. Step 6: Final answer
    x = 34,828.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.