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Finding the Fourth Proportional to 29,747.68, 41,051.46 and 17,172.16

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Solution

The fourth proportional to 29,747.68, 41,051.46 and 17,172.16 is: 23,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747.68 : 41,051.46 = 17,172.16 : x
  2. Step 2: Convert to fraction form
    29,747.68/41,051.46 = 17,172.16/x
  3. Step 3: Cross multiply
    29,747.68x = 41,051.46 × 17,172.16
  4. Step 4: Simplify right side
    29,747.68x = 704,942,239.35
  5. Step 5: Solve for x
    x = 704,942,239.35/29,747.68
  6. Step 6: Final answer
    x = 23,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.