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Finding the Fourth Proportional to 35,846.90, 49,469.56 and 19,931

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Solution

The fourth proportional to 35,846.90, 49,469.56 and 19,931 is: 27,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.90 : 49,469.56 = 19,931 : x
  2. Step 2: Convert to fraction form
    35,846.90/49,469.56 = 19,931/x
  3. Step 3: Cross multiply
    35,846.90x = 49,469.56 × 19,931
  4. Step 4: Simplify right side
    35,846.90x = 985,977,800.36
  5. Step 5: Solve for x
    x = 985,977,800.36/35,846.90
  6. Step 6: Final answer
    x = 27,505.25

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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.