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Finding the Fourth Proportional to 54,842.63, 82,264.39 and 13,289.63

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Solution

The fourth proportional to 54,842.63, 82,264.39 and 13,289.63 is: 19,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.63 : 82,264.39 = 13,289.63 : x
  2. Step 2: Convert to fraction form
    54,842.63/82,264.39 = 13,289.63/x
  3. Step 3: Cross multiply
    54,842.63x = 82,264.39 × 13,289.63
  4. Step 4: Simplify right side
    54,842.63x = 1,093,262,860.73
  5. Step 5: Solve for x
    x = 1,093,262,860.73/54,842.63
  6. Step 6: Final answer
    x = 19,934.55

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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.