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Finding the Fourth Proportional to 29,431.40, 44,136.30 and 9,710.60

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Solution

The fourth proportional to 29,431.40, 44,136.30 and 9,710.60 is: 14,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.40 : 44,136.30 = 9,710.60 : x
  2. Step 2: Convert to fraction form
    29,431.40/44,136.30 = 9,710.60/x
  3. Step 3: Cross multiply
    29,431.40x = 44,136.30 × 9,710.60
  4. Step 4: Simplify right side
    29,431.40x = 428,589,954.78
  5. Step 5: Solve for x
    x = 428,589,954.78/29,431.40
  6. Step 6: Final answer
    x = 14,562.34

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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.