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Finding the Fourth Proportional to 29,858.48, 44,751 and 13,200.56

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Solution

The fourth proportional to 29,858.48, 44,751 and 13,200.56 is: 19,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.48 : 44,751 = 13,200.56 : x
  2. Step 2: Convert to fraction form
    29,858.48/44,751 = 13,200.56/x
  3. Step 3: Cross multiply
    29,858.48x = 44,751 × 13,200.56
  4. Step 4: Simplify right side
    29,858.48x = 590,738,260.56
  5. Step 5: Solve for x
    x = 590,738,260.56/29,858.48
  6. Step 6: Final answer
    x = 19,784.61

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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.