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Finding the Fourth Proportional to 30,896.20, 46,344.30 and 18,430.30

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Solution

The fourth proportional to 30,896.20, 46,344.30 and 18,430.30 is: 27,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.20 : 46,344.30 = 18,430.30 : x
  2. Step 2: Convert to fraction form
    30,896.20/46,344.30 = 18,430.30/x
  3. Step 3: Cross multiply
    30,896.20x = 46,344.30 × 18,430.30
  4. Step 4: Simplify right side
    30,896.20x = 854,139,352.29
  5. Step 5: Solve for x
    x = 854,139,352.29/30,896.20
  6. Step 6: Final answer
    x = 27,645.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.