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Finding the Fourth Proportional to 31,756, 43,824.50 and 17,608.54

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Solution

The fourth proportional to 31,756, 43,824.50 and 17,608.54 is: 24,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756 : 43,824.50 = 17,608.54 : x
  2. Step 2: Convert to fraction form
    31,756/43,824.50 = 17,608.54/x
  3. Step 3: Cross multiply
    31,756x = 43,824.50 × 17,608.54
  4. Step 4: Simplify right side
    31,756x = 771,685,461.23
  5. Step 5: Solve for x
    x = 771,685,461.23/31,756
  6. Step 6: Final answer
    x = 24,300.46

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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.