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Finding the Fourth Proportional to 72,446.80, 108,524.40 and 48,827.20

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Solution

The fourth proportional to 72,446.80, 108,524.40 and 48,827.20 is: 73,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446.80 : 108,524.40 = 48,827.20 : x
  2. Step 2: Convert to fraction form
    72,446.80/108,524.40 = 48,827.20/x
  3. Step 3: Cross multiply
    72,446.80x = 108,524.40 × 48,827.20
  4. Step 4: Simplify right side
    72,446.80x = 5,298,942,583.68
  5. Step 5: Solve for x
    x = 5,298,942,583.68/72,446.80
  6. Step 6: Final answer
    x = 73,142.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.