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Finding the Fourth Proportional to 29,599, 40,846.62 and 16,351

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Solution

The fourth proportional to 29,599, 40,846.62 and 16,351 is: 22,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,599 : 40,846.62 = 16,351 : x
  2. Step 2: Convert to fraction form
    29,599/40,846.62 = 16,351/x
  3. Step 3: Cross multiply
    29,599x = 40,846.62 × 16,351
  4. Step 4: Simplify right side
    29,599x = 667,883,083.62
  5. Step 5: Solve for x
    x = 667,883,083.62/29,599
  6. Step 6: Final answer
    x = 22,564.38

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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.