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Finding the Fourth Proportional to 36,074.80, 49,785.54 and 20,159.32

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Solution

The fourth proportional to 36,074.80, 49,785.54 and 20,159.32 is: 27,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074.80 : 49,785.54 = 20,159.32 : x
  2. Step 2: Convert to fraction form
    36,074.80/49,785.54 = 20,159.32/x
  3. Step 3: Cross multiply
    36,074.80x = 49,785.54 × 20,159.32
  4. Step 4: Simplify right side
    36,074.80x = 1,003,642,632.23
  5. Step 5: Solve for x
    x = 1,003,642,632.23/36,074.80
  6. Step 6: Final answer
    x = 27,821.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.