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Finding the Fourth Proportional to 97,481.55, 146,227.53 and 30,927

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Solution

The fourth proportional to 97,481.55, 146,227.53 and 30,927 is: 46,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481.55 : 146,227.53 = 30,927 : x
  2. Step 2: Convert to fraction form
    97,481.55/146,227.53 = 30,927/x
  3. Step 3: Cross multiply
    97,481.55x = 146,227.53 × 30,927
  4. Step 4: Simplify right side
    97,481.55x = 4,522,378,820.31
  5. Step 5: Solve for x
    x = 4,522,378,820.31/97,481.55
  6. Step 6: Final answer
    x = 46,392.15

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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.