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Finding the Fourth Proportional to 46,982.22, 64,834 and 27,873.31

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Solution

The fourth proportional to 46,982.22, 64,834 and 27,873.31 is: 38,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,982.22 : 64,834 = 27,873.31 : x
  2. Step 2: Convert to fraction form
    46,982.22/64,834 = 27,873.31/x
  3. Step 3: Cross multiply
    46,982.22x = 64,834 × 27,873.31
  4. Step 4: Simplify right side
    46,982.22x = 1,807,138,180.54
  5. Step 5: Solve for x
    x = 1,807,138,180.54/46,982.22
  6. Step 6: Final answer
    x = 38,464.30

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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.