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Finding the Fourth Proportional to 56,137.68, 77,469.84 and 30,987

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Solution

The fourth proportional to 56,137.68, 77,469.84 and 30,987 is: 42,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,137.68 : 77,469.84 = 30,987 : x
  2. Step 2: Convert to fraction form
    56,137.68/77,469.84 = 30,987/x
  3. Step 3: Cross multiply
    56,137.68x = 77,469.84 × 30,987
  4. Step 4: Simplify right side
    56,137.68x = 2,400,557,932.08
  5. Step 5: Solve for x
    x = 2,400,557,932.08/56,137.68
  6. Step 6: Final answer
    x = 42,761.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.