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Finding the Fourth Proportional to 30,872.98, 46,309.44 and 7,499.44

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Solution

The fourth proportional to 30,872.98, 46,309.44 and 7,499.44 is: 11,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.98 : 46,309.44 = 7,499.44 : x
  2. Step 2: Convert to fraction form
    30,872.98/46,309.44 = 7,499.44/x
  3. Step 3: Cross multiply
    30,872.98x = 46,309.44 × 7,499.44
  4. Step 4: Simplify right side
    30,872.98x = 347,294,866.71
  5. Step 5: Solve for x
    x = 347,294,866.71/30,872.98
  6. Step 6: Final answer
    x = 11,249.15

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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.