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Finding the Fourth Proportional to 29,555.68, 44,295.02 and 12,005

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Solution

The fourth proportional to 29,555.68, 44,295.02 and 12,005 is: 17,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,555.68 : 44,295.02 = 12,005 : x
  2. Step 2: Convert to fraction form
    29,555.68/44,295.02 = 12,005/x
  3. Step 3: Cross multiply
    29,555.68x = 44,295.02 × 12,005
  4. Step 4: Simplify right side
    29,555.68x = 531,761,715.10
  5. Step 5: Solve for x
    x = 531,761,715.10/29,555.68
  6. Step 6: Final answer
    x = 17,991.86

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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.