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Finding the Fourth Proportional to 29,844.62, 41,186.58 and 16,416.44

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Solution

The fourth proportional to 29,844.62, 41,186.58 and 16,416.44 is: 22,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844.62 : 41,186.58 = 16,416.44 : x
  2. Step 2: Convert to fraction form
    29,844.62/41,186.58 = 16,416.44/x
  3. Step 3: Cross multiply
    29,844.62x = 41,186.58 × 16,416.44
  4. Step 4: Simplify right side
    29,844.62x = 676,137,019.38
  5. Step 5: Solve for x
    x = 676,137,019.38/29,844.62
  6. Step 6: Final answer
    x = 22,655.24

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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.