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Finding the Fourth Proportional to 34,074, 47,022.12 and 19,170

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Solution

The fourth proportional to 34,074, 47,022.12 and 19,170 is: 26,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074 : 47,022.12 = 19,170 : x
  2. Step 2: Convert to fraction form
    34,074/47,022.12 = 19,170/x
  3. Step 3: Cross multiply
    34,074x = 47,022.12 × 19,170
  4. Step 4: Simplify right side
    34,074x = 901,414,040.40
  5. Step 5: Solve for x
    x = 901,414,040.40/34,074
  6. Step 6: Final answer
    x = 26,454.60

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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.