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Finding the Fourth Proportional to 52,846.44, 79,268.86 and 12,865.80

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Solution

The fourth proportional to 52,846.44, 79,268.86 and 12,865.80 is: 19,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,846.44 : 79,268.86 = 12,865.80 : x
  2. Step 2: Convert to fraction form
    52,846.44/79,268.86 = 12,865.80/x
  3. Step 3: Cross multiply
    52,846.44x = 79,268.86 × 12,865.80
  4. Step 4: Simplify right side
    52,846.44x = 1,019,857,298.99
  5. Step 5: Solve for x
    x = 1,019,857,298.99/52,846.44
  6. Step 6: Final answer
    x = 19,298.51

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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.