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Finding the Fourth Proportional to 54,052.96, 81,078.48 and 17,116

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Solution

The fourth proportional to 54,052.96, 81,078.48 and 17,116 is: 25,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,052.96 : 81,078.48 = 17,116 : x
  2. Step 2: Convert to fraction form
    54,052.96/81,078.48 = 17,116/x
  3. Step 3: Cross multiply
    54,052.96x = 81,078.48 × 17,116
  4. Step 4: Simplify right side
    54,052.96x = 1,387,739,263.68
  5. Step 5: Solve for x
    x = 1,387,739,263.68/54,052.96
  6. Step 6: Final answer
    x = 25,673.70

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Why These Related Problems?

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