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Finding the Fourth Proportional to 75,327.57, 103,966.34 and 49,834.44

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Solution

The fourth proportional to 75,327.57, 103,966.34 and 49,834.44 is: 68,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,327.57 : 103,966.34 = 49,834.44 : x
  2. Step 2: Convert to fraction form
    75,327.57/103,966.34 = 49,834.44/x
  3. Step 3: Cross multiply
    75,327.57x = 103,966.34 × 49,834.44
  4. Step 4: Simplify right side
    75,327.57x = 5,181,104,083.58
  5. Step 5: Solve for x
    x = 5,181,104,083.58/75,327.57
  6. Step 6: Final answer
    x = 68,780.98

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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.