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Finding the Fourth Proportional to 29,334, 40,480.92 and 16,086

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Solution

The fourth proportional to 29,334, 40,480.92 and 16,086 is: 22,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,334 : 40,480.92 = 16,086 : x
  2. Step 2: Convert to fraction form
    29,334/40,480.92 = 16,086/x
  3. Step 3: Cross multiply
    29,334x = 40,480.92 × 16,086
  4. Step 4: Simplify right side
    29,334x = 651,176,079.12
  5. Step 5: Solve for x
    x = 651,176,079.12/29,334
  6. Step 6: Final answer
    x = 22,198.68

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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.