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Finding the Fourth Proportional to 81,981, 122,969.34 and 22,814.28

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Solution

The fourth proportional to 81,981, 122,969.34 and 22,814.28 is: 34,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981 : 122,969.34 = 22,814.28 : x
  2. Step 2: Convert to fraction form
    81,981/122,969.34 = 22,814.28/x
  3. Step 3: Cross multiply
    81,981x = 122,969.34 × 22,814.28
  4. Step 4: Simplify right side
    81,981x = 2,805,456,954.18
  5. Step 5: Solve for x
    x = 2,805,456,954.18/81,981
  6. Step 6: Final answer
    x = 34,220.82

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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.