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Finding the Fourth Proportional to 33,987.71, 46,904.06 and 20,561.42

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Solution

The fourth proportional to 33,987.71, 46,904.06 and 20,561.42 is: 28,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.71 : 46,904.06 = 20,561.42 : x
  2. Step 2: Convert to fraction form
    33,987.71/46,904.06 = 20,561.42/x
  3. Step 3: Cross multiply
    33,987.71x = 46,904.06 × 20,561.42
  4. Step 4: Simplify right side
    33,987.71x = 964,414,077.37
  5. Step 5: Solve for x
    x = 964,414,077.37/33,987.71
  6. Step 6: Final answer
    x = 28,375.38

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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.