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Finding the Fourth Proportional to 65,452, 90,324.48 and 35,644

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Solution

The fourth proportional to 65,452, 90,324.48 and 35,644 is: 49,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452 : 90,324.48 = 35,644 : x
  2. Step 2: Convert to fraction form
    65,452/90,324.48 = 35,644/x
  3. Step 3: Cross multiply
    65,452x = 90,324.48 × 35,644
  4. Step 4: Simplify right side
    65,452x = 3,219,525,765.12
  5. Step 5: Solve for x
    x = 3,219,525,765.12/65,452
  6. Step 6: Final answer
    x = 49,189.11

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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.