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Finding the Fourth Proportional to 50,745.60, 76,023.54 and 42,478.74

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Solution

The fourth proportional to 50,745.60, 76,023.54 and 42,478.74 is: 63,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,745.60 : 76,023.54 = 42,478.74 : x
  2. Step 2: Convert to fraction form
    50,745.60/76,023.54 = 42,478.74/x
  3. Step 3: Cross multiply
    50,745.60x = 76,023.54 × 42,478.74
  4. Step 4: Simplify right side
    50,745.60x = 3,229,384,189.54
  5. Step 5: Solve for x
    x = 3,229,384,189.54/50,745.60
  6. Step 6: Final answer
    x = 63,638.70

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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.