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Finding the Fourth Proportional to 50,514.94, 75,772.32 and 15,454.63

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Solution

The fourth proportional to 50,514.94, 75,772.32 and 15,454.63 is: 23,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514.94 : 75,772.32 = 15,454.63 : x
  2. Step 2: Convert to fraction form
    50,514.94/75,772.32 = 15,454.63/x
  3. Step 3: Cross multiply
    50,514.94x = 75,772.32 × 15,454.63
  4. Step 4: Simplify right side
    50,514.94x = 1,171,033,169.84
  5. Step 5: Solve for x
    x = 1,171,033,169.84/50,514.94
  6. Step 6: Final answer
    x = 23,181.92

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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.