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Finding the Fourth Proportional to 36,097.46, 49,815.15 and 20,180.21

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Solution

The fourth proportional to 36,097.46, 49,815.15 and 20,180.21 is: 27,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.46 : 49,815.15 = 20,180.21 : x
  2. Step 2: Convert to fraction form
    36,097.46/49,815.15 = 20,180.21/x
  3. Step 3: Cross multiply
    36,097.46x = 49,815.15 × 20,180.21
  4. Step 4: Simplify right side
    36,097.46x = 1,005,280,188.18
  5. Step 5: Solve for x
    x = 1,005,280,188.18/36,097.46
  6. Step 6: Final answer
    x = 27,849.06

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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.