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Finding the Fourth Proportional to 31,782.96, 43,860.51 and 17,635.79

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Solution

The fourth proportional to 31,782.96, 43,860.51 and 17,635.79 is: 24,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.96 : 43,860.51 = 17,635.79 : x
  2. Step 2: Convert to fraction form
    31,782.96/43,860.51 = 17,635.79/x
  3. Step 3: Cross multiply
    31,782.96x = 43,860.51 × 17,635.79
  4. Step 4: Simplify right side
    31,782.96x = 773,514,853.30
  5. Step 5: Solve for x
    x = 773,514,853.30/31,782.96
  6. Step 6: Final answer
    x = 24,337.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.