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Finding the Fourth Proportional to 30,944.16, 46,401.84 and 11,221.92

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Solution

The fourth proportional to 30,944.16, 46,401.84 and 11,221.92 is: 16,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.16 : 46,401.84 = 11,221.92 : x
  2. Step 2: Convert to fraction form
    30,944.16/46,401.84 = 11,221.92/x
  3. Step 3: Cross multiply
    30,944.16x = 46,401.84 × 11,221.92
  4. Step 4: Simplify right side
    30,944.16x = 520,717,736.33
  5. Step 5: Solve for x
    x = 520,717,736.33/30,944.16
  6. Step 6: Final answer
    x = 16,827.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.