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Finding the Fourth Proportional to 83,842.00, 125,762.87 and 33,922.48

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Solution

The fourth proportional to 83,842.00, 125,762.87 and 33,922.48 is: 50,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.00 : 125,762.87 = 33,922.48 : x
  2. Step 2: Convert to fraction form
    83,842.00/125,762.87 = 33,922.48/x
  3. Step 3: Cross multiply
    83,842.00x = 125,762.87 × 33,922.48
  4. Step 4: Simplify right side
    83,842.00x = 4,266,188,442.32
  5. Step 5: Solve for x
    x = 4,266,188,442.32/83,842.00
  6. Step 6: Final answer
    x = 50,883.67

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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.