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Finding the Fourth Proportional to 72,256.20, 108,384.30 and 27,884.40

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Solution

The fourth proportional to 72,256.20, 108,384.30 and 27,884.40 is: 41,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,256.20 : 108,384.30 = 27,884.40 : x
  2. Step 2: Convert to fraction form
    72,256.20/108,384.30 = 27,884.40/x
  3. Step 3: Cross multiply
    72,256.20x = 108,384.30 × 27,884.40
  4. Step 4: Simplify right side
    72,256.20x = 3,022,231,174.92
  5. Step 5: Solve for x
    x = 3,022,231,174.92/72,256.20
  6. Step 6: Final answer
    x = 41,826.60

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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.