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Finding the Fourth Proportional to 61,022.16, 84,203.38 and 35,180.42

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Solution

The fourth proportional to 61,022.16, 84,203.38 and 35,180.42 is: 48,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022.16 : 84,203.38 = 35,180.42 : x
  2. Step 2: Convert to fraction form
    61,022.16/84,203.38 = 35,180.42/x
  3. Step 3: Cross multiply
    61,022.16x = 84,203.38 × 35,180.42
  4. Step 4: Simplify right side
    61,022.16x = 2,962,309,922.73
  5. Step 5: Solve for x
    x = 2,962,309,922.73/61,022.16
  6. Step 6: Final answer
    x = 48,544.82

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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.