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Finding the Fourth Proportional to 30,942.44, 46,373.94 and 14,063.12

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Solution

The fourth proportional to 30,942.44, 46,373.94 and 14,063.12 is: 21,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.44 : 46,373.94 = 14,063.12 : x
  2. Step 2: Convert to fraction form
    30,942.44/46,373.94 = 14,063.12/x
  3. Step 3: Cross multiply
    30,942.44x = 46,373.94 × 14,063.12
  4. Step 4: Simplify right side
    30,942.44x = 652,162,283.09
  5. Step 5: Solve for x
    x = 652,162,283.09/30,942.44
  6. Step 6: Final answer
    x = 21,076.63

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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.