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Finding the Fourth Proportional to 56,709.52, 78,258.15 and 31,216.39

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Solution

The fourth proportional to 56,709.52, 78,258.15 and 31,216.39 is: 43,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.52 : 78,258.15 = 31,216.39 : x
  2. Step 2: Convert to fraction form
    56,709.52/78,258.15 = 31,216.39/x
  3. Step 3: Cross multiply
    56,709.52x = 78,258.15 × 31,216.39
  4. Step 4: Simplify right side
    56,709.52x = 2,442,936,735.43
  5. Step 5: Solve for x
    x = 2,442,936,735.43/56,709.52
  6. Step 6: Final answer
    x = 43,078.07

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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.