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Finding the Fourth Proportional to 30,859.92, 46,290.02 and 7,486.34

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Solution

The fourth proportional to 30,859.92, 46,290.02 and 7,486.34 is: 11,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.92 : 46,290.02 = 7,486.34 : x
  2. Step 2: Convert to fraction form
    30,859.92/46,290.02 = 7,486.34/x
  3. Step 3: Cross multiply
    30,859.92x = 46,290.02 × 7,486.34
  4. Step 4: Simplify right side
    30,859.92x = 346,542,828.33
  5. Step 5: Solve for x
    x = 346,542,828.33/30,859.92
  6. Step 6: Final answer
    x = 11,229.54

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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.