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Finding the Fourth Proportional to 55,222.32, 82,824.84 and 18,286.32

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Solution

The fourth proportional to 55,222.32, 82,824.84 and 18,286.32 is: 27,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.32 : 82,824.84 = 18,286.32 : x
  2. Step 2: Convert to fraction form
    55,222.32/82,824.84 = 18,286.32/x
  3. Step 3: Cross multiply
    55,222.32x = 82,824.84 × 18,286.32
  4. Step 4: Simplify right side
    55,222.32x = 1,514,561,528.19
  5. Step 5: Solve for x
    x = 1,514,561,528.19/55,222.32
  6. Step 6: Final answer
    x = 27,426.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.