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Finding the Fourth Proportional to 30,228.92, 45,343.31 and 8,042.32

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Solution

The fourth proportional to 30,228.92, 45,343.31 and 8,042.32 is: 12,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.92 : 45,343.31 = 8,042.32 : x
  2. Step 2: Convert to fraction form
    30,228.92/45,343.31 = 8,042.32/x
  3. Step 3: Cross multiply
    30,228.92x = 45,343.31 × 8,042.32
  4. Step 4: Simplify right side
    30,228.92x = 364,665,408.88
  5. Step 5: Solve for x
    x = 364,665,408.88/30,228.92
  6. Step 6: Final answer
    x = 12,063.46

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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.