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Finding the Fourth Proportional to 54,925.80, 82,388.70 and 32,764.20

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Solution

The fourth proportional to 54,925.80, 82,388.70 and 32,764.20 is: 49,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,925.80 : 82,388.70 = 32,764.20 : x
  2. Step 2: Convert to fraction form
    54,925.80/82,388.70 = 32,764.20/x
  3. Step 3: Cross multiply
    54,925.80x = 82,388.70 × 32,764.20
  4. Step 4: Simplify right side
    54,925.80x = 2,699,399,844.54
  5. Step 5: Solve for x
    x = 2,699,399,844.54/54,925.80
  6. Step 6: Final answer
    x = 49,146.30

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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.