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Finding the Fourth Proportional to 32,753, 49,129.82 and 8,129

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Solution

The fourth proportional to 32,753, 49,129.82 and 8,129 is: 12,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 49,129.82 = 8,129 : x
  2. Step 2: Convert to fraction form
    32,753/49,129.82 = 8,129/x
  3. Step 3: Cross multiply
    32,753x = 49,129.82 × 8,129
  4. Step 4: Simplify right side
    32,753x = 399,376,306.78
  5. Step 5: Solve for x
    x = 399,376,306.78/32,753
  6. Step 6: Final answer
    x = 12,193.58

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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.