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Finding the Fourth Proportional to 65,112.32, 89,859.46 and 36,434.70

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Solution

The fourth proportional to 65,112.32, 89,859.46 and 36,434.70 is: 50,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.32 : 89,859.46 = 36,434.70 : x
  2. Step 2: Convert to fraction form
    65,112.32/89,859.46 = 36,434.70/x
  3. Step 3: Cross multiply
    65,112.32x = 89,859.46 × 36,434.70
  4. Step 4: Simplify right side
    65,112.32x = 3,274,002,467.26
  5. Step 5: Solve for x
    x = 3,274,002,467.26/65,112.32
  6. Step 6: Final answer
    x = 50,282.38

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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.