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Finding the Fourth Proportional to 31,821.88, 43,915.44 and 21,771.40

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Solution

The fourth proportional to 31,821.88, 43,915.44 and 21,771.40 is: 30,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.88 : 43,915.44 = 21,771.40 : x
  2. Step 2: Convert to fraction form
    31,821.88/43,915.44 = 21,771.40/x
  3. Step 3: Cross multiply
    31,821.88x = 43,915.44 × 21,771.40
  4. Step 4: Simplify right side
    31,821.88x = 956,100,610.42
  5. Step 5: Solve for x
    x = 956,100,610.42/31,821.88
  6. Step 6: Final answer
    x = 30,045.38

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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.