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Finding the Fourth Proportional to 54,702.34, 82,078.11 and 33,674.33

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Solution

The fourth proportional to 54,702.34, 82,078.11 and 33,674.33 is: 50,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.34 : 82,078.11 = 33,674.33 : x
  2. Step 2: Convert to fraction form
    54,702.34/82,078.11 = 33,674.33/x
  3. Step 3: Cross multiply
    54,702.34x = 82,078.11 × 33,674.33
  4. Step 4: Simplify right side
    54,702.34x = 2,763,925,567.11
  5. Step 5: Solve for x
    x = 2,763,925,567.11/54,702.34
  6. Step 6: Final answer
    x = 50,526.64

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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.