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Finding the Fourth Proportional to 32,491, 48,736.74 and 7,867

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Solution

The fourth proportional to 32,491, 48,736.74 and 7,867 is: 11,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491 : 48,736.74 = 7,867 : x
  2. Step 2: Convert to fraction form
    32,491/48,736.74 = 7,867/x
  3. Step 3: Cross multiply
    32,491x = 48,736.74 × 7,867
  4. Step 4: Simplify right side
    32,491x = 383,411,933.58
  5. Step 5: Solve for x
    x = 383,411,933.58/32,491
  6. Step 6: Final answer
    x = 11,800.56

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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.