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Finding the Fourth Proportional to 75,467, 104,147.88 and 41,933

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Solution

The fourth proportional to 75,467, 104,147.88 and 41,933 is: 57,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,467 : 104,147.88 = 41,933 : x
  2. Step 2: Convert to fraction form
    75,467/104,147.88 = 41,933/x
  3. Step 3: Cross multiply
    75,467x = 104,147.88 × 41,933
  4. Step 4: Simplify right side
    75,467x = 4,367,233,052.04
  5. Step 5: Solve for x
    x = 4,367,233,052.04/75,467
  6. Step 6: Final answer
    x = 57,869.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.