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Finding the Fourth Proportional to 30,978.06, 46,467.16 and 7,604.57

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Solution

The fourth proportional to 30,978.06, 46,467.16 and 7,604.57 is: 11,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.06 : 46,467.16 = 7,604.57 : x
  2. Step 2: Convert to fraction form
    30,978.06/46,467.16 = 7,604.57/x
  3. Step 3: Cross multiply
    30,978.06x = 46,467.16 × 7,604.57
  4. Step 4: Simplify right side
    30,978.06x = 353,362,519.57
  5. Step 5: Solve for x
    x = 353,362,519.57/30,978.06
  6. Step 6: Final answer
    x = 11,406.86

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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.