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Finding the Fourth Proportional to 29,869.92, 44,805.32 and 7,682.80

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Solution

The fourth proportional to 29,869.92, 44,805.32 and 7,682.80 is: 11,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,869.92 : 44,805.32 = 7,682.80 : x
  2. Step 2: Convert to fraction form
    29,869.92/44,805.32 = 7,682.80/x
  3. Step 3: Cross multiply
    29,869.92x = 44,805.32 × 7,682.80
  4. Step 4: Simplify right side
    29,869.92x = 344,230,312.50
  5. Step 5: Solve for x
    x = 344,230,312.50/29,869.92
  6. Step 6: Final answer
    x = 11,524.31

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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.