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Finding the Fourth Proportional to 30,929.82, 46,394.31 and 7,556.46

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Solution

The fourth proportional to 30,929.82, 46,394.31 and 7,556.46 is: 11,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.82 : 46,394.31 = 7,556.46 : x
  2. Step 2: Convert to fraction form
    30,929.82/46,394.31 = 7,556.46/x
  3. Step 3: Cross multiply
    30,929.82x = 46,394.31 × 7,556.46
  4. Step 4: Simplify right side
    30,929.82x = 350,576,747.74
  5. Step 5: Solve for x
    x = 350,576,747.74/30,929.82
  6. Step 6: Final answer
    x = 11,334.59

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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.