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Finding the Fourth Proportional to 27,403.50, 41,022.01 and 17,549.70

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Solution

The fourth proportional to 27,403.50, 41,022.01 and 17,549.70 is: 26,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.50 : 41,022.01 = 17,549.70 : x
  2. Step 2: Convert to fraction form
    27,403.50/41,022.01 = 17,549.70/x
  3. Step 3: Cross multiply
    27,403.50x = 41,022.01 × 17,549.70
  4. Step 4: Simplify right side
    27,403.50x = 719,923,990.83
  5. Step 5: Solve for x
    x = 719,923,990.83/27,403.50
  6. Step 6: Final answer
    x = 26,271.25

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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.