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Finding the Fourth Proportional to 81,770.51, 122,694.48 and 34,395.98

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Solution

The fourth proportional to 81,770.51, 122,694.48 and 34,395.98 is: 51,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770.51 : 122,694.48 = 34,395.98 : x
  2. Step 2: Convert to fraction form
    81,770.51/122,694.48 = 34,395.98/x
  3. Step 3: Cross multiply
    81,770.51x = 122,694.48 × 34,395.98
  4. Step 4: Simplify right side
    81,770.51x = 4,220,196,266.72
  5. Step 5: Solve for x
    x = 4,220,196,266.72/81,770.51
  6. Step 6: Final answer
    x = 51,610.25

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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.