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Finding the Fourth Proportional to 30,229.43, 41,713.43 and 16,798.50

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Solution

The fourth proportional to 30,229.43, 41,713.43 and 16,798.50 is: 23,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.43 : 41,713.43 = 16,798.50 : x
  2. Step 2: Convert to fraction form
    30,229.43/41,713.43 = 16,798.50/x
  3. Step 3: Cross multiply
    30,229.43x = 41,713.43 × 16,798.50
  4. Step 4: Simplify right side
    30,229.43x = 700,722,969.86
  5. Step 5: Solve for x
    x = 700,722,969.86/30,229.43
  6. Step 6: Final answer
    x = 23,180.16

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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.