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Finding the Fourth Proportional to 34,112.70, 47,072.31 and 19,003.82

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Solution

The fourth proportional to 34,112.70, 47,072.31 and 19,003.82 is: 26,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112.70 : 47,072.31 = 19,003.82 : x
  2. Step 2: Convert to fraction form
    34,112.70/47,072.31 = 19,003.82/x
  3. Step 3: Cross multiply
    34,112.70x = 47,072.31 × 19,003.82
  4. Step 4: Simplify right side
    34,112.70x = 894,553,706.22
  5. Step 5: Solve for x
    x = 894,553,706.22/34,112.70
  6. Step 6: Final answer
    x = 26,223.48

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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.