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Finding the Fourth Proportional to 109,858.50, 164,804.94 and 34,995.42

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Solution

The fourth proportional to 109,858.50, 164,804.94 and 34,995.42 is: 52,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,858.50 : 164,804.94 = 34,995.42 : x
  2. Step 2: Convert to fraction form
    109,858.50/164,804.94 = 34,995.42/x
  3. Step 3: Cross multiply
    109,858.50x = 164,804.94 × 34,995.42
  4. Step 4: Simplify right side
    109,858.50x = 5,767,418,093.37
  5. Step 5: Solve for x
    x = 5,767,418,093.37/109,858.50
  6. Step 6: Final answer
    x = 52,498.61

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