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Finding the Fourth Proportional to 51,908.56, 77,813.58 and 16,823.56

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Solution

The fourth proportional to 51,908.56, 77,813.58 and 16,823.56 is: 25,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.56 : 77,813.58 = 16,823.56 : x
  2. Step 2: Convert to fraction form
    51,908.56/77,813.58 = 16,823.56/x
  3. Step 3: Cross multiply
    51,908.56x = 77,813.58 × 16,823.56
  4. Step 4: Simplify right side
    51,908.56x = 1,309,101,431.94
  5. Step 5: Solve for x
    x = 1,309,101,431.94/51,908.56
  6. Step 6: Final answer
    x = 25,219.37

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1.5x scale

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.