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Finding the Fourth Proportional to 30,311.82, 41,829.21 and 17,736.30

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Solution

The fourth proportional to 30,311.82, 41,829.21 and 17,736.30 is: 24,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.82 : 41,829.21 = 17,736.30 : x
  2. Step 2: Convert to fraction form
    30,311.82/41,829.21 = 17,736.30/x
  3. Step 3: Cross multiply
    30,311.82x = 41,829.21 × 17,736.30
  4. Step 4: Simplify right side
    30,311.82x = 741,895,417.32
  5. Step 5: Solve for x
    x = 741,895,417.32/30,311.82
  6. Step 6: Final answer
    x = 24,475.45

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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.