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Finding the Fourth Proportional to 31,121.44, 42,946.86 and 16,974.40

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Solution

The fourth proportional to 31,121.44, 42,946.86 and 16,974.40 is: 23,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.44 : 42,946.86 = 16,974.40 : x
  2. Step 2: Convert to fraction form
    31,121.44/42,946.86 = 16,974.40/x
  3. Step 3: Cross multiply
    31,121.44x = 42,946.86 × 16,974.40
  4. Step 4: Simplify right side
    31,121.44x = 728,997,180.38
  5. Step 5: Solve for x
    x = 728,997,180.38/31,121.44
  6. Step 6: Final answer
    x = 23,424.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.