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Finding the Fourth Proportional to 31,784, 43,850.58 and 19,842.80

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Solution

The fourth proportional to 31,784, 43,850.58 and 19,842.80 is: 27,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784 : 43,850.58 = 19,842.80 : x
  2. Step 2: Convert to fraction form
    31,784/43,850.58 = 19,842.80/x
  3. Step 3: Cross multiply
    31,784x = 43,850.58 × 19,842.80
  4. Step 4: Simplify right side
    31,784x = 870,118,288.82
  5. Step 5: Solve for x
    x = 870,118,288.82/31,784
  6. Step 6: Final answer
    x = 27,375.98

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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.