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Finding the Fourth Proportional to 34,090.20, 51,077.70 and 29,136.60

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Solution

The fourth proportional to 34,090.20, 51,077.70 and 29,136.60 is: 43,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.20 : 51,077.70 = 29,136.60 : x
  2. Step 2: Convert to fraction form
    34,090.20/51,077.70 = 29,136.60/x
  3. Step 3: Cross multiply
    34,090.20x = 51,077.70 × 29,136.60
  4. Step 4: Simplify right side
    34,090.20x = 1,488,230,513.82
  5. Step 5: Solve for x
    x = 1,488,230,513.82/34,090.20
  6. Step 6: Final answer
    x = 43,655.67

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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.