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Finding the Fourth Proportional to 50,878.45, 76,321.32 and 13,438.15

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Solution

The fourth proportional to 50,878.45, 76,321.32 and 13,438.15 is: 20,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.45 : 76,321.32 = 13,438.15 : x
  2. Step 2: Convert to fraction form
    50,878.45/76,321.32 = 13,438.15/x
  3. Step 3: Cross multiply
    50,878.45x = 76,321.32 × 13,438.15
  4. Step 4: Simplify right side
    50,878.45x = 1,025,617,056.22
  5. Step 5: Solve for x
    x = 1,025,617,056.22/50,878.45
  6. Step 6: Final answer
    x = 20,158.18

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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.