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Finding the Fourth Proportional to 30,866.14, 46,299 and 8,679.37

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Solution

The fourth proportional to 30,866.14, 46,299 and 8,679.37 is: 13,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.14 : 46,299 = 8,679.37 : x
  2. Step 2: Convert to fraction form
    30,866.14/46,299 = 8,679.37/x
  3. Step 3: Cross multiply
    30,866.14x = 46,299 × 8,679.37
  4. Step 4: Simplify right side
    30,866.14x = 401,846,151.63
  5. Step 5: Solve for x
    x = 401,846,151.63/30,866.14
  6. Step 6: Final answer
    x = 13,019.00

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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.