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Finding the Fourth Proportional to 29,593.86, 44,340.27 and 16,278

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Solution

The fourth proportional to 29,593.86, 44,340.27 and 16,278 is: 24,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,593.86 : 44,340.27 = 16,278 : x
  2. Step 2: Convert to fraction form
    29,593.86/44,340.27 = 16,278/x
  3. Step 3: Cross multiply
    29,593.86x = 44,340.27 × 16,278
  4. Step 4: Simplify right side
    29,593.86x = 721,770,915.06
  5. Step 5: Solve for x
    x = 721,770,915.06/29,593.86
  6. Step 6: Final answer
    x = 24,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.