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Finding the Fourth Proportional to 81,775.82, 122,681.02 and 26,367.50

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Solution

The fourth proportional to 81,775.82, 122,681.02 and 26,367.50 is: 39,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775.82 : 122,681.02 = 26,367.50 : x
  2. Step 2: Convert to fraction form
    81,775.82/122,681.02 = 26,367.50/x
  3. Step 3: Cross multiply
    81,775.82x = 122,681.02 × 26,367.50
  4. Step 4: Simplify right side
    81,775.82x = 3,234,791,794.85
  5. Step 5: Solve for x
    x = 3,234,791,794.85/81,775.82
  6. Step 6: Final answer
    x = 39,556.82

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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.