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Finding the Fourth Proportional to 31,102.21, 42,922.15 and 17,674.03

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Solution

The fourth proportional to 31,102.21, 42,922.15 and 17,674.03 is: 24,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.21 : 42,922.15 = 17,674.03 : x
  2. Step 2: Convert to fraction form
    31,102.21/42,922.15 = 17,674.03/x
  3. Step 3: Cross multiply
    31,102.21x = 42,922.15 × 17,674.03
  4. Step 4: Simplify right side
    31,102.21x = 758,607,475.65
  5. Step 5: Solve for x
    x = 758,607,475.65/31,102.21
  6. Step 6: Final answer
    x = 24,390.79

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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.