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Finding the Fourth Proportional to 66,197.82, 91,265.22 and 54,825.42

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Solution

The fourth proportional to 66,197.82, 91,265.22 and 54,825.42 is: 75,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.82 : 91,265.22 = 54,825.42 : x
  2. Step 2: Convert to fraction form
    66,197.82/91,265.22 = 54,825.42/x
  3. Step 3: Cross multiply
    66,197.82x = 91,265.22 × 54,825.42
  4. Step 4: Simplify right side
    66,197.82x = 5,003,654,017.89
  5. Step 5: Solve for x
    x = 5,003,654,017.89/66,197.82
  6. Step 6: Final answer
    x = 75,586.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.