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Finding the Fourth Proportional to 29,558.69, 44,299.53 and 12,008

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Solution

The fourth proportional to 29,558.69, 44,299.53 and 12,008 is: 17,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,558.69 : 44,299.53 = 12,008 : x
  2. Step 2: Convert to fraction form
    29,558.69/44,299.53 = 12,008/x
  3. Step 3: Cross multiply
    29,558.69x = 44,299.53 × 12,008
  4. Step 4: Simplify right side
    29,558.69x = 531,948,756.24
  5. Step 5: Solve for x
    x = 531,948,756.24/29,558.69
  6. Step 6: Final answer
    x = 17,996.36

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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.