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Finding the Fourth Proportional to 30,264.38, 41,760.84 and 16,832.96

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Solution

The fourth proportional to 30,264.38, 41,760.84 and 16,832.96 is: 23,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.38 : 41,760.84 = 16,832.96 : x
  2. Step 2: Convert to fraction form
    30,264.38/41,760.84 = 16,832.96/x
  3. Step 3: Cross multiply
    30,264.38x = 41,760.84 × 16,832.96
  4. Step 4: Simplify right side
    30,264.38x = 702,958,549.29
  5. Step 5: Solve for x
    x = 702,958,549.29/30,264.38
  6. Step 6: Final answer
    x = 23,227.26

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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.