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Finding the Fourth Proportional to 31,527.44, 43,525.28 and 23,021

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Solution

The fourth proportional to 31,527.44, 43,525.28 and 23,021 is: 31,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.44 : 43,525.28 = 23,021 : x
  2. Step 2: Convert to fraction form
    31,527.44/43,525.28 = 23,021/x
  3. Step 3: Cross multiply
    31,527.44x = 43,525.28 × 23,021
  4. Step 4: Simplify right side
    31,527.44x = 1,001,995,470.88
  5. Step 5: Solve for x
    x = 1,001,995,470.88/31,527.44
  6. Step 6: Final answer
    x = 31,781.69

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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.