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Finding the Fourth Proportional to 33,071.32, 45,645.64 and 20,335.46

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Solution

The fourth proportional to 33,071.32, 45,645.64 and 20,335.46 is: 28,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.32 : 45,645.64 = 20,335.46 : x
  2. Step 2: Convert to fraction form
    33,071.32/45,645.64 = 20,335.46/x
  3. Step 3: Cross multiply
    33,071.32x = 45,645.64 × 20,335.46
  4. Step 4: Simplify right side
    33,071.32x = 928,225,086.39
  5. Step 5: Solve for x
    x = 928,225,086.39/33,071.32
  6. Step 6: Final answer
    x = 28,067.38

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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.