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Finding the Fourth Proportional to 48,996.54, 73,504.53 and 17,834.22

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Solution

The fourth proportional to 48,996.54, 73,504.53 and 17,834.22 is: 26,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,996.54 : 73,504.53 = 17,834.22 : x
  2. Step 2: Convert to fraction form
    48,996.54/73,504.53 = 17,834.22/x
  3. Step 3: Cross multiply
    48,996.54x = 73,504.53 × 17,834.22
  4. Step 4: Simplify right side
    48,996.54x = 1,310,895,959.02
  5. Step 5: Solve for x
    x = 1,310,895,959.02/48,996.54
  6. Step 6: Final answer
    x = 26,754.87

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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.