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Finding the Fourth Proportional to 30,227.31, 41,713.65 and 16,798.14

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Solution

The fourth proportional to 30,227.31, 41,713.65 and 16,798.14 is: 23,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.31 : 41,713.65 = 16,798.14 : x
  2. Step 2: Convert to fraction form
    30,227.31/41,713.65 = 16,798.14/x
  3. Step 3: Cross multiply
    30,227.31x = 41,713.65 × 16,798.14
  4. Step 4: Simplify right side
    30,227.31x = 700,711,732.61
  5. Step 5: Solve for x
    x = 700,711,732.61/30,227.31
  6. Step 6: Final answer
    x = 23,181.41

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1.5x scale

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.