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Finding the Fourth Proportional to 32,954, 49,431.24 and 8,330

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Solution

The fourth proportional to 32,954, 49,431.24 and 8,330 is: 12,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 49,431.24 = 8,330 : x
  2. Step 2: Convert to fraction form
    32,954/49,431.24 = 8,330/x
  3. Step 3: Cross multiply
    32,954x = 49,431.24 × 8,330
  4. Step 4: Simplify right side
    32,954x = 411,762,229.20
  5. Step 5: Solve for x
    x = 411,762,229.20/32,954
  6. Step 6: Final answer
    x = 12,495.06

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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.