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Finding the Fourth Proportional to 56,917.84, 78,546.60 and 31,424.20

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Solution

The fourth proportional to 56,917.84, 78,546.60 and 31,424.20 is: 43,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,917.84 : 78,546.60 = 31,424.20 : x
  2. Step 2: Convert to fraction form
    56,917.84/78,546.60 = 31,424.20/x
  3. Step 3: Cross multiply
    56,917.84x = 78,546.60 × 31,424.20
  4. Step 4: Simplify right side
    56,917.84x = 2,468,264,067.72
  5. Step 5: Solve for x
    x = 2,468,264,067.72/56,917.84
  6. Step 6: Final answer
    x = 43,365.39

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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.