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Finding the Fourth Proportional to 34,180.26, 47,168.70 and 19,072

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Solution

The fourth proportional to 34,180.26, 47,168.70 and 19,072 is: 26,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180.26 : 47,168.70 = 19,072 : x
  2. Step 2: Convert to fraction form
    34,180.26/47,168.70 = 19,072/x
  3. Step 3: Cross multiply
    34,180.26x = 47,168.70 × 19,072
  4. Step 4: Simplify right side
    34,180.26x = 899,601,446.40
  5. Step 5: Solve for x
    x = 899,601,446.40/34,180.26
  6. Step 6: Final answer
    x = 26,319.33

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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.