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Finding the Fourth Proportional to 65,185.21, 89,964.44 and 38,343.43

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Solution

The fourth proportional to 65,185.21, 89,964.44 and 38,343.43 is: 52,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.21 : 89,964.44 = 38,343.43 : x
  2. Step 2: Convert to fraction form
    65,185.21/89,964.44 = 38,343.43/x
  3. Step 3: Cross multiply
    65,185.21x = 89,964.44 × 38,343.43
  4. Step 4: Simplify right side
    65,185.21x = 3,449,545,207.63
  5. Step 5: Solve for x
    x = 3,449,545,207.63/65,185.21
  6. Step 6: Final answer
    x = 52,919.14

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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.