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Finding the Fourth Proportional to 32,693, 49,040.22 and 8,069

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Solution

The fourth proportional to 32,693, 49,040.22 and 8,069 is: 12,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,693 : 49,040.22 = 8,069 : x
  2. Step 2: Convert to fraction form
    32,693/49,040.22 = 8,069/x
  3. Step 3: Cross multiply
    32,693x = 49,040.22 × 8,069
  4. Step 4: Simplify right side
    32,693x = 395,705,535.18
  5. Step 5: Solve for x
    x = 395,705,535.18/32,693
  6. Step 6: Final answer
    x = 12,103.68

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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.