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Finding the Fourth Proportional to 51,649.71, 77,507.34 and 22,067.78

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Solution

The fourth proportional to 51,649.71, 77,507.34 and 22,067.78 is: 33,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,649.71 : 77,507.34 = 22,067.78 : x
  2. Step 2: Convert to fraction form
    51,649.71/77,507.34 = 22,067.78/x
  3. Step 3: Cross multiply
    51,649.71x = 77,507.34 × 22,067.78
  4. Step 4: Simplify right side
    51,649.71x = 1,710,414,539.97
  5. Step 5: Solve for x
    x = 1,710,414,539.97/51,649.71
  6. Step 6: Final answer
    x = 33,115.67

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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.