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Finding the Fourth Proportional to 30,896.40, 46,344.60 and 29,686.80

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Solution

The fourth proportional to 30,896.40, 46,344.60 and 29,686.80 is: 44,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.40 : 46,344.60 = 29,686.80 : x
  2. Step 2: Convert to fraction form
    30,896.40/46,344.60 = 29,686.80/x
  3. Step 3: Cross multiply
    30,896.40x = 46,344.60 × 29,686.80
  4. Step 4: Simplify right side
    30,896.40x = 1,375,822,871.28
  5. Step 5: Solve for x
    x = 1,375,822,871.28/30,896.40
  6. Step 6: Final answer
    x = 44,530.20

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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.