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Finding the Fourth Proportional to 81,878.90, 122,883.15 and 31,982.90

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Solution

The fourth proportional to 81,878.90, 122,883.15 and 31,982.90 is: 47,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.90 : 122,883.15 = 31,982.90 : x
  2. Step 2: Convert to fraction form
    81,878.90/122,883.15 = 31,982.90/x
  3. Step 3: Cross multiply
    81,878.90x = 122,883.15 × 31,982.90
  4. Step 4: Simplify right side
    81,878.90x = 3,930,159,498.14
  5. Step 5: Solve for x
    x = 3,930,159,498.14/81,878.90
  6. Step 6: Final answer
    x = 47,999.66

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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.