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Finding the Fourth Proportional to 65,157.28, 89,896.44 and 38,291.20

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Solution

The fourth proportional to 65,157.28, 89,896.44 and 38,291.20 is: 52,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.28 : 89,896.44 = 38,291.20 : x
  2. Step 2: Convert to fraction form
    65,157.28/89,896.44 = 38,291.20/x
  3. Step 3: Cross multiply
    65,157.28x = 89,896.44 × 38,291.20
  4. Step 4: Simplify right side
    65,157.28x = 3,442,242,563.33
  5. Step 5: Solve for x
    x = 3,442,242,563.33/65,157.28
  6. Step 6: Final answer
    x = 52,829.75

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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.