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Finding the Fourth Proportional to 65,880.48, 90,906.52 and 37,584.48

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Solution

The fourth proportional to 65,880.48, 90,906.52 and 37,584.48 is: 51,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880.48 : 90,906.52 = 37,584.48 : x
  2. Step 2: Convert to fraction form
    65,880.48/90,906.52 = 37,584.48/x
  3. Step 3: Cross multiply
    65,880.48x = 90,906.52 × 37,584.48
  4. Step 4: Simplify right side
    65,880.48x = 3,416,674,282.81
  5. Step 5: Solve for x
    x = 3,416,674,282.81/65,880.48
  6. Step 6: Final answer
    x = 51,861.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.