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Finding the Fourth Proportional to 33,524.71, 46,261.80 and 20,089.24

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Solution

The fourth proportional to 33,524.71, 46,261.80 and 20,089.24 is: 27,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.71 : 46,261.80 = 20,089.24 : x
  2. Step 2: Convert to fraction form
    33,524.71/46,261.80 = 20,089.24/x
  3. Step 3: Cross multiply
    33,524.71x = 46,261.80 × 20,089.24
  4. Step 4: Simplify right side
    33,524.71x = 929,364,287.38
  5. Step 5: Solve for x
    x = 929,364,287.38/33,524.71
  6. Step 6: Final answer
    x = 27,721.77

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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.