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Finding the Fourth Proportional to 54,783.90, 82,169.49 and 15,344.19

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Solution

The fourth proportional to 54,783.90, 82,169.49 and 15,344.19 is: 23,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783.90 : 82,169.49 = 15,344.19 : x
  2. Step 2: Convert to fraction form
    54,783.90/82,169.49 = 15,344.19/x
  3. Step 3: Cross multiply
    54,783.90x = 82,169.49 × 15,344.19
  4. Step 4: Simplify right side
    54,783.90x = 1,260,824,266.76
  5. Step 5: Solve for x
    x = 1,260,824,266.76/54,783.90
  6. Step 6: Final answer
    x = 23,014.50

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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.