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Finding the Fourth Proportional to 57,077.54, 85,620.42 and 17,629.54

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Solution

The fourth proportional to 57,077.54, 85,620.42 and 17,629.54 is: 26,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.54 : 85,620.42 = 17,629.54 : x
  2. Step 2: Convert to fraction form
    57,077.54/85,620.42 = 17,629.54/x
  3. Step 3: Cross multiply
    57,077.54x = 85,620.42 × 17,629.54
  4. Step 4: Simplify right side
    57,077.54x = 1,509,448,619.21
  5. Step 5: Solve for x
    x = 1,509,448,619.21/57,077.54
  6. Step 6: Final answer
    x = 26,445.58

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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.