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Finding the Fourth Proportional to 70,556.76, 105,836.22 and 17,967.24

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Solution

The fourth proportional to 70,556.76, 105,836.22 and 17,967.24 is: 26,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,556.76 : 105,836.22 = 17,967.24 : x
  2. Step 2: Convert to fraction form
    70,556.76/105,836.22 = 17,967.24/x
  3. Step 3: Cross multiply
    70,556.76x = 105,836.22 × 17,967.24
  4. Step 4: Simplify right side
    70,556.76x = 1,901,584,765.43
  5. Step 5: Solve for x
    x = 1,901,584,765.43/70,556.76
  6. Step 6: Final answer
    x = 26,951.14

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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.