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Finding the Fourth Proportional to 50,468.54, 75,714.64 and 15,408.20

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Solution

The fourth proportional to 50,468.54, 75,714.64 and 15,408.20 is: 23,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.54 : 75,714.64 = 15,408.20 : x
  2. Step 2: Convert to fraction form
    50,468.54/75,714.64 = 15,408.20/x
  3. Step 3: Cross multiply
    50,468.54x = 75,714.64 × 15,408.20
  4. Step 4: Simplify right side
    50,468.54x = 1,166,626,316.05
  5. Step 5: Solve for x
    x = 1,166,626,316.05/50,468.54
  6. Step 6: Final answer
    x = 23,115.91

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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.