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Finding the Fourth Proportional to 54,742.60, 81,984.30 and 33,747.40

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Solution

The fourth proportional to 54,742.60, 81,984.30 and 33,747.40 is: 50,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.60 : 81,984.30 = 33,747.40 : x
  2. Step 2: Convert to fraction form
    54,742.60/81,984.30 = 33,747.40/x
  3. Step 3: Cross multiply
    54,742.60x = 81,984.30 × 33,747.40
  4. Step 4: Simplify right side
    54,742.60x = 2,766,756,965.82
  5. Step 5: Solve for x
    x = 2,766,756,965.82/54,742.60
  6. Step 6: Final answer
    x = 50,541.20

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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.