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Finding the Fourth Proportional to 31,782.21, 43,859.48 and 17,635.05

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Solution

The fourth proportional to 31,782.21, 43,859.48 and 17,635.05 is: 24,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.21 : 43,859.48 = 17,635.05 : x
  2. Step 2: Convert to fraction form
    31,782.21/43,859.48 = 17,635.05/x
  3. Step 3: Cross multiply
    31,782.21x = 43,859.48 × 17,635.05
  4. Step 4: Simplify right side
    31,782.21x = 773,464,034.60
  5. Step 5: Solve for x
    x = 773,464,034.60/31,782.21
  6. Step 6: Final answer
    x = 24,336.38

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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.