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Finding the Fourth Proportional to 20,633.88, 30,950.82 and 5,051.50

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Solution

The fourth proportional to 20,633.88, 30,950.82 and 5,051.50 is: 7,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.88 : 30,950.82 = 5,051.50 : x
  2. Step 2: Convert to fraction form
    20,633.88/30,950.82 = 5,051.50/x
  3. Step 3: Cross multiply
    20,633.88x = 30,950.82 × 5,051.50
  4. Step 4: Simplify right side
    20,633.88x = 156,348,067.23
  5. Step 5: Solve for x
    x = 156,348,067.23/20,633.88
  6. Step 6: Final answer
    x = 7,577.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.