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Finding the Fourth Proportional to 37,827, 56,705.22 and 12,849.98

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Solution

The fourth proportional to 37,827, 56,705.22 and 12,849.98 is: 19,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827 : 56,705.22 = 12,849.98 : x
  2. Step 2: Convert to fraction form
    37,827/56,705.22 = 12,849.98/x
  3. Step 3: Cross multiply
    37,827x = 56,705.22 × 12,849.98
  4. Step 4: Simplify right side
    37,827x = 728,660,659.37
  5. Step 5: Solve for x
    x = 728,660,659.37/37,827
  6. Step 6: Final answer
    x = 19,262.98

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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.