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Finding the Fourth Proportional to 81,786.06, 122,693.31 and 31,893.30

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Solution

The fourth proportional to 81,786.06, 122,693.31 and 31,893.30 is: 47,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,786.06 : 122,693.31 = 31,893.30 : x
  2. Step 2: Convert to fraction form
    81,786.06/122,693.31 = 31,893.30/x
  3. Step 3: Cross multiply
    81,786.06x = 122,693.31 × 31,893.30
  4. Step 4: Simplify right side
    81,786.06x = 3,913,094,543.82
  5. Step 5: Solve for x
    x = 3,913,094,543.82/81,786.06
  6. Step 6: Final answer
    x = 47,845.50

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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.