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Finding the Fourth Proportional to 30,227.66, 41,712.80 and 16,798.86

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Solution

The fourth proportional to 30,227.66, 41,712.80 and 16,798.86 is: 23,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.66 : 41,712.80 = 16,798.86 : x
  2. Step 2: Convert to fraction form
    30,227.66/41,712.80 = 16,798.86/x
  3. Step 3: Cross multiply
    30,227.66x = 41,712.80 × 16,798.86
  4. Step 4: Simplify right side
    30,227.66x = 700,727,487.41
  5. Step 5: Solve for x
    x = 700,727,487.41/30,227.66
  6. Step 6: Final answer
    x = 23,181.66

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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.