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Finding the Fourth Proportional to 34,651.56, 51,983.75 and 10,965.07

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Solution

The fourth proportional to 34,651.56, 51,983.75 and 10,965.07 is: 16,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.56 : 51,983.75 = 10,965.07 : x
  2. Step 2: Convert to fraction form
    34,651.56/51,983.75 = 10,965.07/x
  3. Step 3: Cross multiply
    34,651.56x = 51,983.75 × 10,965.07
  4. Step 4: Simplify right side
    34,651.56x = 570,005,457.61
  5. Step 5: Solve for x
    x = 570,005,457.61/34,651.56
  6. Step 6: Final answer
    x = 16,449.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.