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Finding the Fourth Proportional to 34,011.60, 51,010.11 and 10,635

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Solution

The fourth proportional to 34,011.60, 51,010.11 and 10,635 is: 15,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.60 : 51,010.11 = 10,635 : x
  2. Step 2: Convert to fraction form
    34,011.60/51,010.11 = 10,635/x
  3. Step 3: Cross multiply
    34,011.60x = 51,010.11 × 10,635
  4. Step 4: Simplify right side
    34,011.60x = 542,492,519.85
  5. Step 5: Solve for x
    x = 542,492,519.85/34,011.60
  6. Step 6: Final answer
    x = 15,950.22

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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.