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Finding the Fourth Proportional to 31,821.61, 43,915.21 and 17,674.45

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Solution

The fourth proportional to 31,821.61, 43,915.21 and 17,674.45 is: 24,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.61 : 43,915.21 = 17,674.45 : x
  2. Step 2: Convert to fraction form
    31,821.61/43,915.21 = 17,674.45/x
  3. Step 3: Cross multiply
    31,821.61x = 43,915.21 × 17,674.45
  4. Step 4: Simplify right side
    31,821.61x = 776,177,375.85
  5. Step 5: Solve for x
    x = 776,177,375.85/31,821.61
  6. Step 6: Final answer
    x = 24,391.52

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1.5x scale

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.