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Finding the Fourth Proportional to 33,540, 46,304.64 and 22,381.44

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Solution

The fourth proportional to 33,540, 46,304.64 and 22,381.44 is: 30,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540 : 46,304.64 = 22,381.44 : x
  2. Step 2: Convert to fraction form
    33,540/46,304.64 = 22,381.44/x
  3. Step 3: Cross multiply
    33,540x = 46,304.64 × 22,381.44
  4. Step 4: Simplify right side
    33,540x = 1,036,364,521.88
  5. Step 5: Solve for x
    x = 1,036,364,521.88/33,540
  6. Step 6: Final answer
    x = 30,899.36

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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.