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Finding the Fourth Proportional to 65,187.60, 97,738.20 and 23,629.20

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Solution

The fourth proportional to 65,187.60, 97,738.20 and 23,629.20 is: 35,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187.60 : 97,738.20 = 23,629.20 : x
  2. Step 2: Convert to fraction form
    65,187.60/97,738.20 = 23,629.20/x
  3. Step 3: Cross multiply
    65,187.60x = 97,738.20 × 23,629.20
  4. Step 4: Simplify right side
    65,187.60x = 2,309,475,475.44
  5. Step 5: Solve for x
    x = 2,309,475,475.44/65,187.60
  6. Step 6: Final answer
    x = 35,428.14

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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.