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Finding the Fourth Proportional to 53,478.06, 80,171.97 and 33,713.02

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Solution

The fourth proportional to 53,478.06, 80,171.97 and 33,713.02 is: 50,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.06 : 80,171.97 = 33,713.02 : x
  2. Step 2: Convert to fraction form
    53,478.06/80,171.97 = 33,713.02/x
  3. Step 3: Cross multiply
    53,478.06x = 80,171.97 × 33,713.02
  4. Step 4: Simplify right side
    53,478.06x = 2,702,839,228.05
  5. Step 5: Solve for x
    x = 2,702,839,228.05/53,478.06
  6. Step 6: Final answer
    x = 50,541.09

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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.