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Finding the Fourth Proportional to 36,842.82, 50,843.31 and 20,075.82

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Solution

The fourth proportional to 36,842.82, 50,843.31 and 20,075.82 is: 27,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.82 : 50,843.31 = 20,075.82 : x
  2. Step 2: Convert to fraction form
    36,842.82/50,843.31 = 20,075.82/x
  3. Step 3: Cross multiply
    36,842.82x = 50,843.31 × 20,075.82
  4. Step 4: Simplify right side
    36,842.82x = 1,020,721,139.76
  5. Step 5: Solve for x
    x = 1,020,721,139.76/36,842.82
  6. Step 6: Final answer
    x = 27,704.75

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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.