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Finding the Fourth Proportional to 48,441.83, 72,662.73 and 13,381.49

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Solution

The fourth proportional to 48,441.83, 72,662.73 and 13,381.49 is: 20,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,441.83 : 72,662.73 = 13,381.49 : x
  2. Step 2: Convert to fraction form
    48,441.83/72,662.73 = 13,381.49/x
  3. Step 3: Cross multiply
    48,441.83x = 72,662.73 × 13,381.49
  4. Step 4: Simplify right side
    48,441.83x = 972,335,231.55
  5. Step 5: Solve for x
    x = 972,335,231.55/48,441.83
  6. Step 6: Final answer
    x = 20,072.23

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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.