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Finding the Fourth Proportional to 52,093.35, 78,198.35 and 34,597.35

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Solution

The fourth proportional to 52,093.35, 78,198.35 and 34,597.35 is: 51,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.35 : 78,198.35 = 34,597.35 : x
  2. Step 2: Convert to fraction form
    52,093.35/78,198.35 = 34,597.35/x
  3. Step 3: Cross multiply
    52,093.35x = 78,198.35 × 34,597.35
  4. Step 4: Simplify right side
    52,093.35x = 2,705,455,511.39
  5. Step 5: Solve for x
    x = 2,705,455,511.39/52,093.35
  6. Step 6: Final answer
    x = 51,934.76

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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.