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Finding the Fourth Proportional to 57,266.27, 85,434.42 and 54,166.19

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Solution

The fourth proportional to 57,266.27, 85,434.42 and 54,166.19 is: 80,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,266.27 : 85,434.42 = 54,166.19 : x
  2. Step 2: Convert to fraction form
    57,266.27/85,434.42 = 54,166.19/x
  3. Step 3: Cross multiply
    57,266.27x = 85,434.42 × 54,166.19
  4. Step 4: Simplify right side
    57,266.27x = 4,627,657,370.72
  5. Step 5: Solve for x
    x = 4,627,657,370.72/57,266.27
  6. Step 6: Final answer
    x = 80,809.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.