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Finding the Fourth Proportional to 35,827.30, 49,438.92 and 19,910.80

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Solution

The fourth proportional to 35,827.30, 49,438.92 and 19,910.80 is: 27,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,827.30 : 49,438.92 = 19,910.80 : x
  2. Step 2: Convert to fraction form
    35,827.30/49,438.92 = 19,910.80/x
  3. Step 3: Cross multiply
    35,827.30x = 49,438.92 × 19,910.80
  4. Step 4: Simplify right side
    35,827.30x = 984,368,448.34
  5. Step 5: Solve for x
    x = 984,368,448.34/35,827.30
  6. Step 6: Final answer
    x = 27,475.37

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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.