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Finding the Fourth Proportional to 31,202.90, 43,054.97 and 17,774.42

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Solution

The fourth proportional to 31,202.90, 43,054.97 and 17,774.42 is: 24,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.90 : 43,054.97 = 17,774.42 : x
  2. Step 2: Convert to fraction form
    31,202.90/43,054.97 = 17,774.42/x
  3. Step 3: Cross multiply
    31,202.90x = 43,054.97 × 17,774.42
  4. Step 4: Simplify right side
    31,202.90x = 765,276,904.59
  5. Step 5: Solve for x
    x = 765,276,904.59/31,202.90
  6. Step 6: Final answer
    x = 24,525.83

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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.