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Finding the Fourth Proportional to 49,009.80, 73,470.24 and 17,823

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Solution

The fourth proportional to 49,009.80, 73,470.24 and 17,823 is: 26,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009.80 : 73,470.24 = 17,823 : x
  2. Step 2: Convert to fraction form
    49,009.80/73,470.24 = 17,823/x
  3. Step 3: Cross multiply
    49,009.80x = 73,470.24 × 17,823
  4. Step 4: Simplify right side
    49,009.80x = 1,309,460,087.52
  5. Step 5: Solve for x
    x = 1,309,460,087.52/49,009.80
  6. Step 6: Final answer
    x = 26,718.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.