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Finding the Fourth Proportional to 34,563.80, 47,698.14 and 19,456.70

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Solution

The fourth proportional to 34,563.80, 47,698.14 and 19,456.70 is: 26,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563.80 : 47,698.14 = 19,456.70 : x
  2. Step 2: Convert to fraction form
    34,563.80/47,698.14 = 19,456.70/x
  3. Step 3: Cross multiply
    34,563.80x = 47,698.14 × 19,456.70
  4. Step 4: Simplify right side
    34,563.80x = 928,048,162.05
  5. Step 5: Solve for x
    x = 928,048,162.05/34,563.80
  6. Step 6: Final answer
    x = 26,850.30

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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.