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Finding the Fourth Proportional to 33,691.16, 46,479 and 20,254.64

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Solution

The fourth proportional to 33,691.16, 46,479 and 20,254.64 is: 27,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.16 : 46,479 = 20,254.64 : x
  2. Step 2: Convert to fraction form
    33,691.16/46,479 = 20,254.64/x
  3. Step 3: Cross multiply
    33,691.16x = 46,479 × 20,254.64
  4. Step 4: Simplify right side
    33,691.16x = 941,415,412.56
  5. Step 5: Solve for x
    x = 941,415,412.56/33,691.16
  6. Step 6: Final answer
    x = 27,942.51

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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.