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Finding the Fourth Proportional to 30,567.87, 45,842.91 and 11,843.73

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Solution

The fourth proportional to 30,567.87, 45,842.91 and 11,843.73 is: 17,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.87 : 45,842.91 = 11,843.73 : x
  2. Step 2: Convert to fraction form
    30,567.87/45,842.91 = 11,843.73/x
  3. Step 3: Cross multiply
    30,567.87x = 45,842.91 × 11,843.73
  4. Step 4: Simplify right side
    30,567.87x = 542,951,048.45
  5. Step 5: Solve for x
    x = 542,951,048.45/30,567.87
  6. Step 6: Final answer
    x = 17,762.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.