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Finding the Fourth Proportional to 165,573.25, 248,401.79 and 47,245

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Solution

The fourth proportional to 165,573.25, 248,401.79 and 47,245 is: 70,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,573.25 : 248,401.79 = 47,245 : x
  2. Step 2: Convert to fraction form
    165,573.25/248,401.79 = 47,245/x
  3. Step 3: Cross multiply
    165,573.25x = 248,401.79 × 47,245
  4. Step 4: Simplify right side
    165,573.25x = 11,735,742,568.55
  5. Step 5: Solve for x
    x = 11,735,742,568.55/165,573.25
  6. Step 6: Final answer
    x = 70,879.46

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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.