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Finding the Fourth Proportional to 31,129.84, 42,959.28 and 16,982.98

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Solution

The fourth proportional to 31,129.84, 42,959.28 and 16,982.98 is: 23,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.84 : 42,959.28 = 16,982.98 : x
  2. Step 2: Convert to fraction form
    31,129.84/42,959.28 = 16,982.98/x
  3. Step 3: Cross multiply
    31,129.84x = 42,959.28 × 16,982.98
  4. Step 4: Simplify right side
    31,129.84x = 729,576,593.05
  5. Step 5: Solve for x
    x = 729,576,593.05/31,129.84
  6. Step 6: Final answer
    x = 23,436.57

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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.