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Finding the Fourth Proportional to 36,074.67, 49,783.16 and 20,159.38

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Solution

The fourth proportional to 36,074.67, 49,783.16 and 20,159.38 is: 27,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074.67 : 49,783.16 = 20,159.38 : x
  2. Step 2: Convert to fraction form
    36,074.67/49,783.16 = 20,159.38/x
  3. Step 3: Cross multiply
    36,074.67x = 49,783.16 × 20,159.38
  4. Step 4: Simplify right side
    36,074.67x = 1,003,597,752.67
  5. Step 5: Solve for x
    x = 1,003,597,752.67/36,074.67
  6. Step 6: Final answer
    x = 27,820.01

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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.