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Finding the Fourth Proportional to 30,662.43, 46,008.17 and 12,896.98

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Solution

The fourth proportional to 30,662.43, 46,008.17 and 12,896.98 is: 19,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.43 : 46,008.17 = 12,896.98 : x
  2. Step 2: Convert to fraction form
    30,662.43/46,008.17 = 12,896.98/x
  3. Step 3: Cross multiply
    30,662.43x = 46,008.17 × 12,896.98
  4. Step 4: Simplify right side
    30,662.43x = 593,366,624.34
  5. Step 5: Solve for x
    x = 593,366,624.34/30,662.43
  6. Step 6: Final answer
    x = 19,351.58

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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.