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Finding the Fourth Proportional to 31,018.11, 42,805.44 and 16,871

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Solution

The fourth proportional to 31,018.11, 42,805.44 and 16,871 is: 23,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.11 : 42,805.44 = 16,871 : x
  2. Step 2: Convert to fraction form
    31,018.11/42,805.44 = 16,871/x
  3. Step 3: Cross multiply
    31,018.11x = 42,805.44 × 16,871
  4. Step 4: Simplify right side
    31,018.11x = 722,170,578.24
  5. Step 5: Solve for x
    x = 722,170,578.24/31,018.11
  6. Step 6: Final answer
    x = 23,282.22

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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.