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Finding the Fourth Proportional to 29,781.84, 41,071.50 and 20,236.02

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Solution

The fourth proportional to 29,781.84, 41,071.50 and 20,236.02 is: 27,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.84 : 41,071.50 = 20,236.02 : x
  2. Step 2: Convert to fraction form
    29,781.84/41,071.50 = 20,236.02/x
  3. Step 3: Cross multiply
    29,781.84x = 41,071.50 × 20,236.02
  4. Step 4: Simplify right side
    29,781.84x = 831,123,695.43
  5. Step 5: Solve for x
    x = 831,123,695.43/29,781.84
  6. Step 6: Final answer
    x = 27,907.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.