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Finding the Fourth Proportional to 31,202.32, 43,059.20 and 17,774.82

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Solution

The fourth proportional to 31,202.32, 43,059.20 and 17,774.82 is: 24,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.32 : 43,059.20 = 17,774.82 : x
  2. Step 2: Convert to fraction form
    31,202.32/43,059.20 = 17,774.82/x
  3. Step 3: Cross multiply
    31,202.32x = 43,059.20 × 17,774.82
  4. Step 4: Simplify right side
    31,202.32x = 765,369,529.34
  5. Step 5: Solve for x
    x = 765,369,529.34/31,202.32
  6. Step 6: Final answer
    x = 24,529.25

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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.