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Finding the Fourth Proportional to 36,097.04, 49,815.04 and 20,182.16

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Solution

The fourth proportional to 36,097.04, 49,815.04 and 20,182.16 is: 27,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.04 : 49,815.04 = 20,182.16 : x
  2. Step 2: Convert to fraction form
    36,097.04/49,815.04 = 20,182.16/x
  3. Step 3: Cross multiply
    36,097.04x = 49,815.04 × 20,182.16
  4. Step 4: Simplify right side
    36,097.04x = 1,005,375,107.69
  5. Step 5: Solve for x
    x = 1,005,375,107.69/36,097.04
  6. Step 6: Final answer
    x = 27,852.01

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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.