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Finding the Fourth Proportional to 29,409.44, 44,114.88 and 8,633.60

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Solution

The fourth proportional to 29,409.44, 44,114.88 and 8,633.60 is: 12,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409.44 : 44,114.88 = 8,633.60 : x
  2. Step 2: Convert to fraction form
    29,409.44/44,114.88 = 8,633.60/x
  3. Step 3: Cross multiply
    29,409.44x = 44,114.88 × 8,633.60
  4. Step 4: Simplify right side
    29,409.44x = 380,870,227.97
  5. Step 5: Solve for x
    x = 380,870,227.97/29,409.44
  6. Step 6: Final answer
    x = 12,950.61

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Why These Related Problems?

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