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Finding the Fourth Proportional to 34,170.40, 51,231.30 and 13,102.30

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Solution

The fourth proportional to 34,170.40, 51,231.30 and 13,102.30 is: 19,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170.40 : 51,231.30 = 13,102.30 : x
  2. Step 2: Convert to fraction form
    34,170.40/51,231.30 = 13,102.30/x
  3. Step 3: Cross multiply
    34,170.40x = 51,231.30 × 13,102.30
  4. Step 4: Simplify right side
    34,170.40x = 671,247,861.99
  5. Step 5: Solve for x
    x = 671,247,861.99/34,170.40
  6. Step 6: Final answer
    x = 19,644.13

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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.