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Finding the Fourth Proportional to 82,794.53, 124,212.56 and 32,858.14

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Solution

The fourth proportional to 82,794.53, 124,212.56 and 32,858.14 is: 49,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.53 : 124,212.56 = 32,858.14 : x
  2. Step 2: Convert to fraction form
    82,794.53/124,212.56 = 32,858.14/x
  3. Step 3: Cross multiply
    82,794.53x = 124,212.56 × 32,858.14
  4. Step 4: Simplify right side
    82,794.53x = 4,081,392,900.88
  5. Step 5: Solve for x
    x = 4,081,392,900.88/82,794.53
  6. Step 6: Final answer
    x = 49,295.44

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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.