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Finding the Fourth Proportional to 30,754.50, 46,146.34 and 18,299.12

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Solution

The fourth proportional to 30,754.50, 46,146.34 and 18,299.12 is: 27,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.50 : 46,146.34 = 18,299.12 : x
  2. Step 2: Convert to fraction form
    30,754.50/46,146.34 = 18,299.12/x
  3. Step 3: Cross multiply
    30,754.50x = 46,146.34 × 18,299.12
  4. Step 4: Simplify right side
    30,754.50x = 844,437,413.22
  5. Step 5: Solve for x
    x = 844,437,413.22/30,754.50
  6. Step 6: Final answer
    x = 27,457.36

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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.