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Finding the Fourth Proportional to 50,194.08, 75,297.92 and 29,144

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Solution

The fourth proportional to 50,194.08, 75,297.92 and 29,144 is: 43,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194.08 : 75,297.92 = 29,144 : x
  2. Step 2: Convert to fraction form
    50,194.08/75,297.92 = 29,144/x
  3. Step 3: Cross multiply
    50,194.08x = 75,297.92 × 29,144
  4. Step 4: Simplify right side
    50,194.08x = 2,194,482,580.48
  5. Step 5: Solve for x
    x = 2,194,482,580.48/50,194.08
  6. Step 6: Final answer
    x = 43,719.95

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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.