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Finding the Fourth Proportional to 35,927.54, 49,580.00 and 20,013

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Solution

The fourth proportional to 35,927.54, 49,580.00 and 20,013 is: 27,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927.54 : 49,580.00 = 20,013 : x
  2. Step 2: Convert to fraction form
    35,927.54/49,580.00 = 20,013/x
  3. Step 3: Cross multiply
    35,927.54x = 49,580.00 × 20,013
  4. Step 4: Simplify right side
    35,927.54x = 992,244,439.94
  5. Step 5: Solve for x
    x = 992,244,439.94/35,927.54
  6. Step 6: Final answer
    x = 27,617.94

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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.