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Finding the Fourth Proportional to 72,141.20, 108,215.04 and 27,752.16

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Solution

The fourth proportional to 72,141.20, 108,215.04 and 27,752.16 is: 41,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,141.20 : 108,215.04 = 27,752.16 : x
  2. Step 2: Convert to fraction form
    72,141.20/108,215.04 = 27,752.16/x
  3. Step 3: Cross multiply
    72,141.20x = 108,215.04 × 27,752.16
  4. Step 4: Simplify right side
    72,141.20x = 3,003,201,104.49
  5. Step 5: Solve for x
    x = 3,003,201,104.49/72,141.20
  6. Step 6: Final answer
    x = 41,629.49

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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.