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Finding the Fourth Proportional to 30,998.50, 46,510.92 and 16,942.11

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Solution

The fourth proportional to 30,998.50, 46,510.92 and 16,942.11 is: 25,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.50 : 46,510.92 = 16,942.11 : x
  2. Step 2: Convert to fraction form
    30,998.50/46,510.92 = 16,942.11/x
  3. Step 3: Cross multiply
    30,998.50x = 46,510.92 × 16,942.11
  4. Step 4: Simplify right side
    30,998.50x = 787,993,006.56
  5. Step 5: Solve for x
    x = 787,993,006.56/30,998.50
  6. Step 6: Final answer
    x = 25,420.36

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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.