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Finding the Fourth Proportional to 83,903, 115,786.17 and 46,176.44

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Solution

The fourth proportional to 83,903, 115,786.17 and 46,176.44 is: 63,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903 : 115,786.17 = 46,176.44 : x
  2. Step 2: Convert to fraction form
    83,903/115,786.17 = 46,176.44/x
  3. Step 3: Cross multiply
    83,903x = 115,786.17 × 46,176.44
  4. Step 4: Simplify right side
    83,903x = 5,346,593,131.83
  5. Step 5: Solve for x
    x = 5,346,593,131.83/83,903
  6. Step 6: Final answer
    x = 63,723.50

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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.