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Finding the Fourth Proportional to 31,718.42, 43,768.23 and 17,568.62

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Solution

The fourth proportional to 31,718.42, 43,768.23 and 17,568.62 is: 24,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.42 : 43,768.23 = 17,568.62 : x
  2. Step 2: Convert to fraction form
    31,718.42/43,768.23 = 17,568.62/x
  3. Step 3: Cross multiply
    31,718.42x = 43,768.23 × 17,568.62
  4. Step 4: Simplify right side
    31,718.42x = 768,947,400.94
  5. Step 5: Solve for x
    x = 768,947,400.94/31,718.42
  6. Step 6: Final answer
    x = 24,242.93

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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.