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Finding the Fourth Proportional to 65,348.87, 97,865.42 and 37,183.59

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Solution

The fourth proportional to 65,348.87, 97,865.42 and 37,183.59 is: 55,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.87 : 97,865.42 = 37,183.59 : x
  2. Step 2: Convert to fraction form
    65,348.87/97,865.42 = 37,183.59/x
  3. Step 3: Cross multiply
    65,348.87x = 97,865.42 × 37,183.59
  4. Step 4: Simplify right side
    65,348.87x = 3,638,987,466.54
  5. Step 5: Solve for x
    x = 3,638,987,466.54/65,348.87
  6. Step 6: Final answer
    x = 55,685.55

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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.