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Finding the Fourth Proportional to 36,097.58, 49,808.58 and 20,182.16

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Solution

The fourth proportional to 36,097.58, 49,808.58 and 20,182.16 is: 27,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.58 : 49,808.58 = 20,182.16 : x
  2. Step 2: Convert to fraction form
    36,097.58/49,808.58 = 20,182.16/x
  3. Step 3: Cross multiply
    36,097.58x = 49,808.58 × 20,182.16
  4. Step 4: Simplify right side
    36,097.58x = 1,005,244,730.93
  5. Step 5: Solve for x
    x = 1,005,244,730.93/36,097.58
  6. Step 6: Final answer
    x = 27,847.98

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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.