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Finding the Fourth Proportional to 31,792.50, 43,877.70 and 19,217.25

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Solution

The fourth proportional to 31,792.50, 43,877.70 and 19,217.25 is: 26,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.50 : 43,877.70 = 19,217.25 : x
  2. Step 2: Convert to fraction form
    31,792.50/43,877.70 = 19,217.25/x
  3. Step 3: Cross multiply
    31,792.50x = 43,877.70 × 19,217.25
  4. Step 4: Simplify right side
    31,792.50x = 843,208,730.33
  5. Step 5: Solve for x
    x = 843,208,730.33/31,792.50
  6. Step 6: Final answer
    x = 26,522.25

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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.