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Finding the Fourth Proportional to 54,734.30, 82,040.70 and 21,443.30

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Solution

The fourth proportional to 54,734.30, 82,040.70 and 21,443.30 is: 32,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734.30 : 82,040.70 = 21,443.30 : x
  2. Step 2: Convert to fraction form
    54,734.30/82,040.70 = 21,443.30/x
  3. Step 3: Cross multiply
    54,734.30x = 82,040.70 × 21,443.30
  4. Step 4: Simplify right side
    54,734.30x = 1,759,223,342.31
  5. Step 5: Solve for x
    x = 1,759,223,342.31/54,734.30
  6. Step 6: Final answer
    x = 32,141.15

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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.