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Finding the Fourth Proportional to 65,193.74, 89,959.91 and 36,509.41

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Solution

The fourth proportional to 65,193.74, 89,959.91 and 36,509.41 is: 50,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.74 : 89,959.91 = 36,509.41 : x
  2. Step 2: Convert to fraction form
    65,193.74/89,959.91 = 36,509.41/x
  3. Step 3: Cross multiply
    65,193.74x = 89,959.91 × 36,509.41
  4. Step 4: Simplify right side
    65,193.74x = 3,284,383,237.75
  5. Step 5: Solve for x
    x = 3,284,383,237.75/65,193.74
  6. Step 6: Final answer
    x = 50,378.81

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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.