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Finding the Fourth Proportional to 36,842.64, 50,842.83 and 20,075.64

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Solution

The fourth proportional to 36,842.64, 50,842.83 and 20,075.64 is: 27,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.64 : 50,842.83 = 20,075.64 : x
  2. Step 2: Convert to fraction form
    36,842.64/50,842.83 = 20,075.64/x
  3. Step 3: Cross multiply
    36,842.64x = 50,842.83 × 20,075.64
  4. Step 4: Simplify right side
    36,842.64x = 1,020,702,351.66
  5. Step 5: Solve for x
    x = 1,020,702,351.66/36,842.64
  6. Step 6: Final answer
    x = 27,704.38

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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.