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Finding the Fourth Proportional to 27,404, 41,022.76 and 17,550.19

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Solution

The fourth proportional to 27,404, 41,022.76 and 17,550.19 is: 26,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404 : 41,022.76 = 17,550.19 : x
  2. Step 2: Convert to fraction form
    27,404/41,022.76 = 17,550.19/x
  3. Step 3: Cross multiply
    27,404x = 41,022.76 × 17,550.19
  4. Step 4: Simplify right side
    27,404x = 719,957,232.32
  5. Step 5: Solve for x
    x = 719,957,232.32/27,404
  6. Step 6: Final answer
    x = 26,271.98

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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.