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Finding the Fourth Proportional to 36,735.68, 50,695.44 and 21,629

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Solution

The fourth proportional to 36,735.68, 50,695.44 and 21,629 is: 29,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,735.68 : 50,695.44 = 21,629 : x
  2. Step 2: Convert to fraction form
    36,735.68/50,695.44 = 21,629/x
  3. Step 3: Cross multiply
    36,735.68x = 50,695.44 × 21,629
  4. Step 4: Simplify right side
    36,735.68x = 1,096,491,671.76
  5. Step 5: Solve for x
    x = 1,096,491,671.76/36,735.68
  6. Step 6: Final answer
    x = 29,848.14

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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.