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Finding the Fourth Proportional to 39,733.33, 54,832.99 and 21,830

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Solution

The fourth proportional to 39,733.33, 54,832.99 and 21,830 is: 30,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733.33 : 54,832.99 = 21,830 : x
  2. Step 2: Convert to fraction form
    39,733.33/54,832.99 = 21,830/x
  3. Step 3: Cross multiply
    39,733.33x = 54,832.99 × 21,830
  4. Step 4: Simplify right side
    39,733.33x = 1,197,004,171.70
  5. Step 5: Solve for x
    x = 1,197,004,171.70/39,733.33
  6. Step 6: Final answer
    x = 30,125.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.