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Finding the Fourth Proportional to 34,028, 51,063.90 and 13,251.50

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Solution

The fourth proportional to 34,028, 51,063.90 and 13,251.50 is: 19,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028 : 51,063.90 = 13,251.50 : x
  2. Step 2: Convert to fraction form
    34,028/51,063.90 = 13,251.50/x
  3. Step 3: Cross multiply
    34,028x = 51,063.90 × 13,251.50
  4. Step 4: Simplify right side
    34,028x = 676,673,270.85
  5. Step 5: Solve for x
    x = 676,673,270.85/34,028
  6. Step 6: Final answer
    x = 19,885.78

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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.