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Finding the Fourth Proportional to 34,294.34, 51,431.04 and 12,102.54

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Solution

The fourth proportional to 34,294.34, 51,431.04 and 12,102.54 is: 18,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.34 : 51,431.04 = 12,102.54 : x
  2. Step 2: Convert to fraction form
    34,294.34/51,431.04 = 12,102.54/x
  3. Step 3: Cross multiply
    34,294.34x = 51,431.04 × 12,102.54
  4. Step 4: Simplify right side
    34,294.34x = 622,446,218.84
  5. Step 5: Solve for x
    x = 622,446,218.84/34,294.34
  6. Step 6: Final answer
    x = 18,150.12

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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.