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Finding the Fourth Proportional to 31,206.62, 43,062.09 and 17,776.82

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Solution

The fourth proportional to 31,206.62, 43,062.09 and 17,776.82 is: 24,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.62 : 43,062.09 = 17,776.82 : x
  2. Step 2: Convert to fraction form
    31,206.62/43,062.09 = 17,776.82/x
  3. Step 3: Cross multiply
    31,206.62x = 43,062.09 × 17,776.82
  4. Step 4: Simplify right side
    31,206.62x = 765,507,022.75
  5. Step 5: Solve for x
    x = 765,507,022.75/31,206.62
  6. Step 6: Final answer
    x = 24,530.28

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