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Finding the Fourth Proportional to 34,687.56, 52,039.55 and 11,314

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Solution

The fourth proportional to 34,687.56, 52,039.55 and 11,314 is: 16,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,687.56 : 52,039.55 = 11,314 : x
  2. Step 2: Convert to fraction form
    34,687.56/52,039.55 = 11,314/x
  3. Step 3: Cross multiply
    34,687.56x = 52,039.55 × 11,314
  4. Step 4: Simplify right side
    34,687.56x = 588,775,468.70
  5. Step 5: Solve for x
    x = 588,775,468.70/34,687.56
  6. Step 6: Final answer
    x = 16,973.68

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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.