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Finding the Fourth Proportional to 31,732.68, 43,792.02 and 17,586.42

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Solution

The fourth proportional to 31,732.68, 43,792.02 and 17,586.42 is: 24,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732.68 : 43,792.02 = 17,586.42 : x
  2. Step 2: Convert to fraction form
    31,732.68/43,792.02 = 17,586.42/x
  3. Step 3: Cross multiply
    31,732.68x = 43,792.02 × 17,586.42
  4. Step 4: Simplify right side
    31,732.68x = 770,144,856.37
  5. Step 5: Solve for x
    x = 770,144,856.37/31,732.68
  6. Step 6: Final answer
    x = 24,269.77

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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.