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Finding the Fourth Proportional to 54,971.20, 82,456.80 and 27,323.20

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Solution

The fourth proportional to 54,971.20, 82,456.80 and 27,323.20 is: 40,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,971.20 : 82,456.80 = 27,323.20 : x
  2. Step 2: Convert to fraction form
    54,971.20/82,456.80 = 27,323.20/x
  3. Step 3: Cross multiply
    54,971.20x = 82,456.80 × 27,323.20
  4. Step 4: Simplify right side
    54,971.20x = 2,252,983,637.76
  5. Step 5: Solve for x
    x = 2,252,983,637.76/54,971.20
  6. Step 6: Final answer
    x = 40,984.80

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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.