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Finding the Fourth Proportional to 65,884.92, 90,858.94 and 43,243.54

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Solution

The fourth proportional to 65,884.92, 90,858.94 and 43,243.54 is: 59,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.92 : 90,858.94 = 43,243.54 : x
  2. Step 2: Convert to fraction form
    65,884.92/90,858.94 = 43,243.54/x
  3. Step 3: Cross multiply
    65,884.92x = 90,858.94 × 43,243.54
  4. Step 4: Simplify right side
    65,884.92x = 3,929,062,206.25
  5. Step 5: Solve for x
    x = 3,929,062,206.25/65,884.92
  6. Step 6: Final answer
    x = 59,635.23

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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.