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Finding the Fourth Proportional to 31,187.66, 43,038.94 and 16,847.49

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Solution

The fourth proportional to 31,187.66, 43,038.94 and 16,847.49 is: 23,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.66 : 43,038.94 = 16,847.49 : x
  2. Step 2: Convert to fraction form
    31,187.66/43,038.94 = 16,847.49/x
  3. Step 3: Cross multiply
    31,187.66x = 43,038.94 × 16,847.49
  4. Step 4: Simplify right side
    31,187.66x = 725,098,069.14
  5. Step 5: Solve for x
    x = 725,098,069.14/31,187.66
  6. Step 6: Final answer
    x = 23,249.52

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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.