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Finding the Fourth Proportional to 65,839.86, 90,858.35 and 35,624.52

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Solution

The fourth proportional to 65,839.86, 90,858.35 and 35,624.52 is: 49,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839.86 : 90,858.35 = 35,624.52 : x
  2. Step 2: Convert to fraction form
    65,839.86/90,858.35 = 35,624.52/x
  3. Step 3: Cross multiply
    65,839.86x = 90,858.35 × 35,624.52
  4. Step 4: Simplify right side
    65,839.86x = 3,236,785,195.80
  5. Step 5: Solve for x
    x = 3,236,785,195.80/65,839.86
  6. Step 6: Final answer
    x = 49,161.48

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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.