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Finding the Fourth Proportional to 48,701.80, 73,052.70 and 27,965.80

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Solution

The fourth proportional to 48,701.80, 73,052.70 and 27,965.80 is: 41,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701.80 : 73,052.70 = 27,965.80 : x
  2. Step 2: Convert to fraction form
    48,701.80/73,052.70 = 27,965.80/x
  3. Step 3: Cross multiply
    48,701.80x = 73,052.70 × 27,965.80
  4. Step 4: Simplify right side
    48,701.80x = 2,042,977,197.66
  5. Step 5: Solve for x
    x = 2,042,977,197.66/48,701.80
  6. Step 6: Final answer
    x = 41,948.70

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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.