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Finding the Fourth Proportional to 55,478.75, 83,218.17 and 18,542.75

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Solution

The fourth proportional to 55,478.75, 83,218.17 and 18,542.75 is: 27,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478.75 : 83,218.17 = 18,542.75 : x
  2. Step 2: Convert to fraction form
    55,478.75/83,218.17 = 18,542.75/x
  3. Step 3: Cross multiply
    55,478.75x = 83,218.17 × 18,542.75
  4. Step 4: Simplify right side
    55,478.75x = 1,543,093,721.77
  5. Step 5: Solve for x
    x = 1,543,093,721.77/55,478.75
  6. Step 6: Final answer
    x = 27,814.14

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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.