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Finding the Fourth Proportional to 110,930.76, 166,401.48 and 30,968.52

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Solution

The fourth proportional to 110,930.76, 166,401.48 and 30,968.52 is: 46,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,930.76 : 166,401.48 = 30,968.52 : x
  2. Step 2: Convert to fraction form
    110,930.76/166,401.48 = 30,968.52/x
  3. Step 3: Cross multiply
    110,930.76x = 166,401.48 × 30,968.52
  4. Step 4: Simplify right side
    110,930.76x = 5,153,207,561.41
  5. Step 5: Solve for x
    x = 5,153,207,561.41/110,930.76
  6. Step 6: Final answer
    x = 46,454.27

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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.