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Finding the Fourth Proportional to 31,915.10, 44,042.81 and 17,771.28

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Solution

The fourth proportional to 31,915.10, 44,042.81 and 17,771.28 is: 24,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.10 : 44,042.81 = 17,771.28 : x
  2. Step 2: Convert to fraction form
    31,915.10/44,042.81 = 17,771.28/x
  3. Step 3: Cross multiply
    31,915.10x = 44,042.81 × 17,771.28
  4. Step 4: Simplify right side
    31,915.10x = 782,697,108.50
  5. Step 5: Solve for x
    x = 782,697,108.50/31,915.10
  6. Step 6: Final answer
    x = 24,524.35

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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.