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Finding the Fourth Proportional to 31,792.26, 47,673 and 19,156.26

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Solution

The fourth proportional to 31,792.26, 47,673 and 19,156.26 is: 28,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.26 : 47,673 = 19,156.26 : x
  2. Step 2: Convert to fraction form
    31,792.26/47,673 = 19,156.26/x
  3. Step 3: Cross multiply
    31,792.26x = 47,673 × 19,156.26
  4. Step 4: Simplify right side
    31,792.26x = 913,236,382.98
  5. Step 5: Solve for x
    x = 913,236,382.98/31,792.26
  6. Step 6: Final answer
    x = 28,725.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.