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Finding the Fourth Proportional to 32,827, 49,240.50 and 8,203

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Solution

The fourth proportional to 32,827, 49,240.50 and 8,203 is: 12,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827 : 49,240.50 = 8,203 : x
  2. Step 2: Convert to fraction form
    32,827/49,240.50 = 8,203/x
  3. Step 3: Cross multiply
    32,827x = 49,240.50 × 8,203
  4. Step 4: Simplify right side
    32,827x = 403,919,821.50
  5. Step 5: Solve for x
    x = 403,919,821.50/32,827
  6. Step 6: Final answer
    x = 12,304.50

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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.