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Finding the Fourth Proportional to 29,644.68, 44,467.10 and 12,114.51

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Solution

The fourth proportional to 29,644.68, 44,467.10 and 12,114.51 is: 18,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.68 : 44,467.10 = 12,114.51 : x
  2. Step 2: Convert to fraction form
    29,644.68/44,467.10 = 12,114.51/x
  3. Step 3: Cross multiply
    29,644.68x = 44,467.10 × 12,114.51
  4. Step 4: Simplify right side
    29,644.68x = 538,697,067.05
  5. Step 5: Solve for x
    x = 538,697,067.05/29,644.68
  6. Step 6: Final answer
    x = 18,171.80

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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.