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Finding the Fourth Proportional to 57,302.80, 85,954.20 and 54,022.30

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Solution

The fourth proportional to 57,302.80, 85,954.20 and 54,022.30 is: 81,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302.80 : 85,954.20 = 54,022.30 : x
  2. Step 2: Convert to fraction form
    57,302.80/85,954.20 = 54,022.30/x
  3. Step 3: Cross multiply
    57,302.80x = 85,954.20 × 54,022.30
  4. Step 4: Simplify right side
    57,302.80x = 4,643,443,578.66
  5. Step 5: Solve for x
    x = 4,643,443,578.66/57,302.80
  6. Step 6: Final answer
    x = 81,033.45

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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.