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Finding the Fourth Proportional to 81,686.51, 122,537.34 and 31,770.36

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Solution

The fourth proportional to 81,686.51, 122,537.34 and 31,770.36 is: 47,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686.51 : 122,537.34 = 31,770.36 : x
  2. Step 2: Convert to fraction form
    81,686.51/122,537.34 = 31,770.36/x
  3. Step 3: Cross multiply
    81,686.51x = 122,537.34 × 31,770.36
  4. Step 4: Simplify right side
    81,686.51x = 3,893,055,405.24
  5. Step 5: Solve for x
    x = 3,893,055,405.24/81,686.51
  6. Step 6: Final answer
    x = 47,658.49

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