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Finding the Fourth Proportional to 65,678.37, 90,629.58 and 36,997.23

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Solution

The fourth proportional to 65,678.37, 90,629.58 and 36,997.23 is: 51,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.37 : 90,629.58 = 36,997.23 : x
  2. Step 2: Convert to fraction form
    65,678.37/90,629.58 = 36,997.23/x
  3. Step 3: Cross multiply
    65,678.37x = 90,629.58 × 36,997.23
  4. Step 4: Simplify right side
    65,678.37x = 3,353,043,416.06
  5. Step 5: Solve for x
    x = 3,353,043,416.06/65,678.37
  6. Step 6: Final answer
    x = 51,052.48

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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.