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Finding the Fourth Proportional to 81,842.00, 122,762.66 and 22,677.50

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Solution

The fourth proportional to 81,842.00, 122,762.66 and 22,677.50 is: 34,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.00 : 122,762.66 = 22,677.50 : x
  2. Step 2: Convert to fraction form
    81,842.00/122,762.66 = 22,677.50/x
  3. Step 3: Cross multiply
    81,842.00x = 122,762.66 × 22,677.50
  4. Step 4: Simplify right side
    81,842.00x = 2,783,949,494.95
  5. Step 5: Solve for x
    x = 2,783,949,494.95/81,842.00
  6. Step 6: Final answer
    x = 34,016.15

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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.