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Finding the Fourth Proportional to 36,849.84, 50,852.79 and 20,082.84

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Solution

The fourth proportional to 36,849.84, 50,852.79 and 20,082.84 is: 27,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,849.84 : 50,852.79 = 20,082.84 : x
  2. Step 2: Convert to fraction form
    36,849.84/50,852.79 = 20,082.84/x
  3. Step 3: Cross multiply
    36,849.84x = 50,852.79 × 20,082.84
  4. Step 4: Simplify right side
    36,849.84x = 1,021,268,445.12
  5. Step 5: Solve for x
    x = 1,021,268,445.12/36,849.84
  6. Step 6: Final answer
    x = 27,714.33

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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.