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Finding the Fourth Proportional to 30,344.82, 45,517.02 and 8,156.34

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Solution

The fourth proportional to 30,344.82, 45,517.02 and 8,156.34 is: 12,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.82 : 45,517.02 = 8,156.34 : x
  2. Step 2: Convert to fraction form
    30,344.82/45,517.02 = 8,156.34/x
  3. Step 3: Cross multiply
    30,344.82x = 45,517.02 × 8,156.34
  4. Step 4: Simplify right side
    30,344.82x = 371,252,290.91
  5. Step 5: Solve for x
    x = 371,252,290.91/30,344.82
  6. Step 6: Final answer
    x = 12,234.45

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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.