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Finding the Fourth Proportional to 65,513.62, 90,408.30 and 37,219.31

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Solution

The fourth proportional to 65,513.62, 90,408.30 and 37,219.31 is: 51,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513.62 : 90,408.30 = 37,219.31 : x
  2. Step 2: Convert to fraction form
    65,513.62/90,408.30 = 37,219.31/x
  3. Step 3: Cross multiply
    65,513.62x = 90,408.30 × 37,219.31
  4. Step 4: Simplify right side
    65,513.62x = 3,364,934,544.27
  5. Step 5: Solve for x
    x = 3,364,934,544.27/65,513.62
  6. Step 6: Final answer
    x = 51,362.37

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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.