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Finding the Fourth Proportional to 54,735.82, 82,114.85 and 17,301.74

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Solution

The fourth proportional to 54,735.82, 82,114.85 and 17,301.74 is: 25,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735.82 : 82,114.85 = 17,301.74 : x
  2. Step 2: Convert to fraction form
    54,735.82/82,114.85 = 17,301.74/x
  3. Step 3: Cross multiply
    54,735.82x = 82,114.85 × 17,301.74
  4. Step 4: Simplify right side
    54,735.82x = 1,420,729,784.84
  5. Step 5: Solve for x
    x = 1,420,729,784.84/54,735.82
  6. Step 6: Final answer
    x = 25,956.12

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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.