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Finding the Fourth Proportional to 73,284.48, 109,917.76 and 31,181.48

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Solution

The fourth proportional to 73,284.48, 109,917.76 and 31,181.48 is: 46,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284.48 : 109,917.76 = 31,181.48 : x
  2. Step 2: Convert to fraction form
    73,284.48/109,917.76 = 31,181.48/x
  3. Step 3: Cross multiply
    73,284.48x = 109,917.76 × 31,181.48
  4. Step 4: Simplify right side
    73,284.48x = 3,427,398,435.08
  5. Step 5: Solve for x
    x = 3,427,398,435.08/73,284.48
  6. Step 6: Final answer
    x = 46,768.41

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Why These Related Problems?

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