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Finding the Fourth Proportional to 30,441.90, 45,663.84 and 8,255.22

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Solution

The fourth proportional to 30,441.90, 45,663.84 and 8,255.22 is: 12,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.90 : 45,663.84 = 8,255.22 : x
  2. Step 2: Convert to fraction form
    30,441.90/45,663.84 = 8,255.22/x
  3. Step 3: Cross multiply
    30,441.90x = 45,663.84 × 8,255.22
  4. Step 4: Simplify right side
    30,441.90x = 376,965,045.24
  5. Step 5: Solve for x
    x = 376,965,045.24/30,441.90
  6. Step 6: Final answer
    x = 12,383.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.