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Finding the Fourth Proportional to 34,072, 47,019.39 and 19,168

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Solution

The fourth proportional to 34,072, 47,019.39 and 19,168 is: 26,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072 : 47,019.39 = 19,168 : x
  2. Step 2: Convert to fraction form
    34,072/47,019.39 = 19,168/x
  3. Step 3: Cross multiply
    34,072x = 47,019.39 × 19,168
  4. Step 4: Simplify right side
    34,072x = 901,267,667.52
  5. Step 5: Solve for x
    x = 901,267,667.52/34,072
  6. Step 6: Final answer
    x = 26,451.86

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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.