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Finding the Fourth Proportional to 81,830.50, 122,745.74 and 22,666.17

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Solution

The fourth proportional to 81,830.50, 122,745.74 and 22,666.17 is: 33,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.50 : 122,745.74 = 22,666.17 : x
  2. Step 2: Convert to fraction form
    81,830.50/122,745.74 = 22,666.17/x
  3. Step 3: Cross multiply
    81,830.50x = 122,745.74 × 22,666.17
  4. Step 4: Simplify right side
    81,830.50x = 2,782,175,309.46
  5. Step 5: Solve for x
    x = 2,782,175,309.46/81,830.50
  6. Step 6: Final answer
    x = 33,999.25

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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.