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Finding the Fourth Proportional to 31,720.71, 43,777.23 and 17,574.87

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Solution

The fourth proportional to 31,720.71, 43,777.23 and 17,574.87 is: 24,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.71 : 43,777.23 = 17,574.87 : x
  2. Step 2: Convert to fraction form
    31,720.71/43,777.23 = 17,574.87/x
  3. Step 3: Cross multiply
    31,720.71x = 43,777.23 × 17,574.87
  4. Step 4: Simplify right side
    31,720.71x = 769,379,126.21
  5. Step 5: Solve for x
    x = 769,379,126.21/31,720.71
  6. Step 6: Final answer
    x = 24,254.79

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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.