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Finding the Fourth Proportional to 31,900, 44,020.20 and 17,559.52

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Solution

The fourth proportional to 31,900, 44,020.20 and 17,559.52 is: 24,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900 : 44,020.20 = 17,559.52 : x
  2. Step 2: Convert to fraction form
    31,900/44,020.20 = 17,559.52/x
  3. Step 3: Cross multiply
    31,900x = 44,020.20 × 17,559.52
  4. Step 4: Simplify right side
    31,900x = 772,973,582.30
  5. Step 5: Solve for x
    x = 772,973,582.30/31,900
  6. Step 6: Final answer
    x = 24,231.15

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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.