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Finding the Fourth Proportional to 29,662, 40,933.56 and 16,414

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Solution

The fourth proportional to 29,662, 40,933.56 and 16,414 is: 22,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662 : 40,933.56 = 16,414 : x
  2. Step 2: Convert to fraction form
    29,662/40,933.56 = 16,414/x
  3. Step 3: Cross multiply
    29,662x = 40,933.56 × 16,414
  4. Step 4: Simplify right side
    29,662x = 671,883,453.84
  5. Step 5: Solve for x
    x = 671,883,453.84/29,662
  6. Step 6: Final answer
    x = 22,651.32

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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.