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Finding the Fourth Proportional to 51,649.82, 77,507.50 and 22,067.88

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Solution

The fourth proportional to 51,649.82, 77,507.50 and 22,067.88 is: 33,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,649.82 : 77,507.50 = 22,067.88 : x
  2. Step 2: Convert to fraction form
    51,649.82/77,507.50 = 22,067.88/x
  3. Step 3: Cross multiply
    51,649.82x = 77,507.50 × 22,067.88
  4. Step 4: Simplify right side
    51,649.82x = 1,710,426,209.10
  5. Step 5: Solve for x
    x = 1,710,426,209.10/51,649.82
  6. Step 6: Final answer
    x = 33,115.82

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