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Finding the Fourth Proportional to 54,965.80, 82,448.70 and 47,748.70

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Solution

The fourth proportional to 54,965.80, 82,448.70 and 47,748.70 is: 71,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.80 : 82,448.70 = 47,748.70 : x
  2. Step 2: Convert to fraction form
    54,965.80/82,448.70 = 47,748.70/x
  3. Step 3: Cross multiply
    54,965.80x = 82,448.70 × 47,748.70
  4. Step 4: Simplify right side
    54,965.80x = 3,936,818,241.69
  5. Step 5: Solve for x
    x = 3,936,818,241.69/54,965.80
  6. Step 6: Final answer
    x = 71,623.05

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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.