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Finding the Fourth Proportional to 31,783.41, 43,842.87 and 19,825.98

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Solution

The fourth proportional to 31,783.41, 43,842.87 and 19,825.98 is: 27,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.41 : 43,842.87 = 19,825.98 : x
  2. Step 2: Convert to fraction form
    31,783.41/43,842.87 = 19,825.98/x
  3. Step 3: Cross multiply
    31,783.41x = 43,842.87 × 19,825.98
  4. Step 4: Simplify right side
    31,783.41x = 869,227,863.76
  5. Step 5: Solve for x
    x = 869,227,863.76/31,783.41
  6. Step 6: Final answer
    x = 27,348.48

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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.