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Finding the Fourth Proportional to 65,181.80, 97,643.10 and 35,546.60

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Solution

The fourth proportional to 65,181.80, 97,643.10 and 35,546.60 is: 53,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,181.80 : 97,643.10 = 35,546.60 : x
  2. Step 2: Convert to fraction form
    65,181.80/97,643.10 = 35,546.60/x
  3. Step 3: Cross multiply
    65,181.80x = 97,643.10 × 35,546.60
  4. Step 4: Simplify right side
    65,181.80x = 3,470,880,218.46
  5. Step 5: Solve for x
    x = 3,470,880,218.46/65,181.80
  6. Step 6: Final answer
    x = 53,249.22

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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.