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Finding the Fourth Proportional to 65,408.28, 98,127 and 18,661.56

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Solution

The fourth proportional to 65,408.28, 98,127 and 18,661.56 is: 27,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.28 : 98,127 = 18,661.56 : x
  2. Step 2: Convert to fraction form
    65,408.28/98,127 = 18,661.56/x
  3. Step 3: Cross multiply
    65,408.28x = 98,127 × 18,661.56
  4. Step 4: Simplify right side
    65,408.28x = 1,831,202,898.12
  5. Step 5: Solve for x
    x = 1,831,202,898.12/65,408.28
  6. Step 6: Final answer
    x = 27,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.