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Finding the Fourth Proportional to 54,570.80, 81,856.20 and 41,448.80

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Solution

The fourth proportional to 54,570.80, 81,856.20 and 41,448.80 is: 62,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,570.80 : 81,856.20 = 41,448.80 : x
  2. Step 2: Convert to fraction form
    54,570.80/81,856.20 = 41,448.80/x
  3. Step 3: Cross multiply
    54,570.80x = 81,856.20 × 41,448.80
  4. Step 4: Simplify right side
    54,570.80x = 3,392,841,262.56
  5. Step 5: Solve for x
    x = 3,392,841,262.56/54,570.80
  6. Step 6: Final answer
    x = 62,173.20

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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.