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Finding the Fourth Proportional to 71,324.70, 107,003.97 and 24,576.18

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Solution

The fourth proportional to 71,324.70, 107,003.97 and 24,576.18 is: 36,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,324.70 : 107,003.97 = 24,576.18 : x
  2. Step 2: Convert to fraction form
    71,324.70/107,003.97 = 24,576.18/x
  3. Step 3: Cross multiply
    71,324.70x = 107,003.97 × 24,576.18
  4. Step 4: Simplify right side
    71,324.70x = 2,629,748,827.43
  5. Step 5: Solve for x
    x = 2,629,748,827.43/71,324.70
  6. Step 6: Final answer
    x = 36,870.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.