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Finding the Fourth Proportional to 36,847.16, 50,849.10 and 20,080.16

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Solution

The fourth proportional to 36,847.16, 50,849.10 and 20,080.16 is: 27,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847.16 : 50,849.10 = 20,080.16 : x
  2. Step 2: Convert to fraction form
    36,847.16/50,849.10 = 20,080.16/x
  3. Step 3: Cross multiply
    36,847.16x = 50,849.10 × 20,080.16
  4. Step 4: Simplify right side
    36,847.16x = 1,021,058,063.86
  5. Step 5: Solve for x
    x = 1,021,058,063.86/36,847.16
  6. Step 6: Final answer
    x = 27,710.63

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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.