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Finding the Fourth Proportional to 81,104.80, 121,574.40 and 54,812.20

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Solution

The fourth proportional to 81,104.80, 121,574.40 and 54,812.20 is: 82,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,104.80 : 121,574.40 = 54,812.20 : x
  2. Step 2: Convert to fraction form
    81,104.80/121,574.40 = 54,812.20/x
  3. Step 3: Cross multiply
    81,104.80x = 121,574.40 × 54,812.20
  4. Step 4: Simplify right side
    81,104.80x = 6,663,760,327.68
  5. Step 5: Solve for x
    x = 6,663,760,327.68/81,104.80
  6. Step 6: Final answer
    x = 82,162.34

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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.