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Finding the Fourth Proportional to 50,642.16, 75,961.32 and 15,580.86

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Solution

The fourth proportional to 50,642.16, 75,961.32 and 15,580.86 is: 23,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.16 : 75,961.32 = 15,580.86 : x
  2. Step 2: Convert to fraction form
    50,642.16/75,961.32 = 15,580.86/x
  3. Step 3: Cross multiply
    50,642.16x = 75,961.32 × 15,580.86
  4. Step 4: Simplify right side
    50,642.16x = 1,183,542,692.34
  5. Step 5: Solve for x
    x = 1,183,542,692.34/50,642.16
  6. Step 6: Final answer
    x = 23,370.70

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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.