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Finding the Fourth Proportional to 65,086.25, 89,818.38 and 36,405.57

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Solution

The fourth proportional to 65,086.25, 89,818.38 and 36,405.57 is: 50,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.25 : 89,818.38 = 36,405.57 : x
  2. Step 2: Convert to fraction form
    65,086.25/89,818.38 = 36,405.57/x
  3. Step 3: Cross multiply
    65,086.25x = 89,818.38 × 36,405.57
  4. Step 4: Simplify right side
    65,086.25x = 3,269,889,657.20
  5. Step 5: Solve for x
    x = 3,269,889,657.20/65,086.25
  6. Step 6: Final answer
    x = 50,239.33

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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.