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Finding the Fourth Proportional to 30,227.28, 41,712.38 and 16,798.41

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Solution

The fourth proportional to 30,227.28, 41,712.38 and 16,798.41 is: 23,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.28 : 41,712.38 = 16,798.41 : x
  2. Step 2: Convert to fraction form
    30,227.28/41,712.38 = 16,798.41/x
  3. Step 3: Cross multiply
    30,227.28x = 41,712.38 × 16,798.41
  4. Step 4: Simplify right side
    30,227.28x = 700,701,577.32
  5. Step 5: Solve for x
    x = 700,701,577.32/30,227.28
  6. Step 6: Final answer
    x = 23,181.10

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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.