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Finding the Fourth Proportional to 29,200, 40,297.44 and 16,625.92

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Solution

The fourth proportional to 29,200, 40,297.44 and 16,625.92 is: 22,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200 : 40,297.44 = 16,625.92 : x
  2. Step 2: Convert to fraction form
    29,200/40,297.44 = 16,625.92/x
  3. Step 3: Cross multiply
    29,200x = 40,297.44 × 16,625.92
  4. Step 4: Simplify right side
    29,200x = 669,982,013.64
  5. Step 5: Solve for x
    x = 669,982,013.64/29,200
  6. Step 6: Final answer
    x = 22,944.59

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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.