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Finding the Fourth Proportional to 34,677.45, 52,016.19 and 8,382.20

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Solution

The fourth proportional to 34,677.45, 52,016.19 and 8,382.20 is: 12,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,677.45 : 52,016.19 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    34,677.45/52,016.19 = 8,382.20/x
  3. Step 3: Cross multiply
    34,677.45x = 52,016.19 × 8,382.20
  4. Step 4: Simplify right side
    34,677.45x = 436,009,847.74
  5. Step 5: Solve for x
    x = 436,009,847.74/34,677.45
  6. Step 6: Final answer
    x = 12,573.30

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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.