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Finding the Fourth Proportional to 71,757.42, 107,636.37 and 34,795.50

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Solution

The fourth proportional to 71,757.42, 107,636.37 and 34,795.50 is: 52,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.42 : 107,636.37 = 34,795.50 : x
  2. Step 2: Convert to fraction form
    71,757.42/107,636.37 = 34,795.50/x
  3. Step 3: Cross multiply
    71,757.42x = 107,636.37 × 34,795.50
  4. Step 4: Simplify right side
    71,757.42x = 3,745,261,312.34
  5. Step 5: Solve for x
    x = 3,745,261,312.34/71,757.42
  6. Step 6: Final answer
    x = 52,193.37

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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.