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Finding the Fourth Proportional to 32,936, 49,404.24 and 8,312

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Solution

The fourth proportional to 32,936, 49,404.24 and 8,312 is: 12,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936 : 49,404.24 = 8,312 : x
  2. Step 2: Convert to fraction form
    32,936/49,404.24 = 8,312/x
  3. Step 3: Cross multiply
    32,936x = 49,404.24 × 8,312
  4. Step 4: Simplify right side
    32,936x = 410,648,042.88
  5. Step 5: Solve for x
    x = 410,648,042.88/32,936
  6. Step 6: Final answer
    x = 12,468.06

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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.