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Finding the Fourth Proportional to 31,397.48, 43,310.50 and 19,601

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Solution

The fourth proportional to 31,397.48, 43,310.50 and 19,601 is: 27,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.48 : 43,310.50 = 19,601 : x
  2. Step 2: Convert to fraction form
    31,397.48/43,310.50 = 19,601/x
  3. Step 3: Cross multiply
    31,397.48x = 43,310.50 × 19,601
  4. Step 4: Simplify right side
    31,397.48x = 848,929,110.50
  5. Step 5: Solve for x
    x = 848,929,110.50/31,397.48
  6. Step 6: Final answer
    x = 27,038.13

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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.