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Finding the Fourth Proportional to 81,843, 122,764.15 and 22,678.50

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Solution

The fourth proportional to 81,843, 122,764.15 and 22,678.50 is: 34,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843 : 122,764.15 = 22,678.50 : x
  2. Step 2: Convert to fraction form
    81,843/122,764.15 = 22,678.50/x
  3. Step 3: Cross multiply
    81,843x = 122,764.15 × 22,678.50
  4. Step 4: Simplify right side
    81,843x = 2,784,106,775.78
  5. Step 5: Solve for x
    x = 2,784,106,775.78/81,843
  6. Step 6: Final answer
    x = 34,017.65

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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.