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Finding the Fourth Proportional to 29,172.16, 43,758.24 and 8,395.66

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Solution

The fourth proportional to 29,172.16, 43,758.24 and 8,395.66 is: 12,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172.16 : 43,758.24 = 8,395.66 : x
  2. Step 2: Convert to fraction form
    29,172.16/43,758.24 = 8,395.66/x
  3. Step 3: Cross multiply
    29,172.16x = 43,758.24 × 8,395.66
  4. Step 4: Simplify right side
    29,172.16x = 367,379,305.24
  5. Step 5: Solve for x
    x = 367,379,305.24/29,172.16
  6. Step 6: Final answer
    x = 12,593.49

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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.