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Finding the Fourth Proportional to 30,694.80, 46,035.54 and 10,974.72

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Solution

The fourth proportional to 30,694.80, 46,035.54 and 10,974.72 is: 16,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.80 : 46,035.54 = 10,974.72 : x
  2. Step 2: Convert to fraction form
    30,694.80/46,035.54 = 10,974.72/x
  3. Step 3: Cross multiply
    30,694.80x = 46,035.54 × 10,974.72
  4. Step 4: Simplify right side
    30,694.80x = 505,227,161.55
  5. Step 5: Solve for x
    x = 505,227,161.55/30,694.80
  6. Step 6: Final answer
    x = 16,459.70

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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.