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Finding the Fourth Proportional to 36,095.76, 49,811.16 and 20,179.20

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Solution

The fourth proportional to 36,095.76, 49,811.16 and 20,179.20 is: 27,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095.76 : 49,811.16 = 20,179.20 : x
  2. Step 2: Convert to fraction form
    36,095.76/49,811.16 = 20,179.20/x
  3. Step 3: Cross multiply
    36,095.76x = 49,811.16 × 20,179.20
  4. Step 4: Simplify right side
    36,095.76x = 1,005,149,359.87
  5. Step 5: Solve for x
    x = 1,005,149,359.87/36,095.76
  6. Step 6: Final answer
    x = 27,846.74

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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.