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Finding the Fourth Proportional to 29,101.42, 43,668.53 and 14,311.84

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Solution

The fourth proportional to 29,101.42, 43,668.53 and 14,311.84 is: 21,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.42 : 43,668.53 = 14,311.84 : x
  2. Step 2: Convert to fraction form
    29,101.42/43,668.53 = 14,311.84/x
  3. Step 3: Cross multiply
    29,101.42x = 43,668.53 × 14,311.84
  4. Step 4: Simplify right side
    29,101.42x = 624,977,014.40
  5. Step 5: Solve for x
    x = 624,977,014.40/29,101.42
  6. Step 6: Final answer
    x = 21,475.83

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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.