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Finding the Fourth Proportional to 54,894.38, 82,353.17 and 21,161.26

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Solution

The fourth proportional to 54,894.38, 82,353.17 and 21,161.26 is: 31,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.38 : 82,353.17 = 21,161.26 : x
  2. Step 2: Convert to fraction form
    54,894.38/82,353.17 = 21,161.26/x
  3. Step 3: Cross multiply
    54,894.38x = 82,353.17 × 21,161.26
  4. Step 4: Simplify right side
    54,894.38x = 1,742,696,998.04
  5. Step 5: Solve for x
    x = 1,742,696,998.04/54,894.38
  6. Step 6: Final answer
    x = 31,746.37

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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.