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Finding the Fourth Proportional to 35,980.38, 49,652.97 and 19,847.32

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Solution

The fourth proportional to 35,980.38, 49,652.97 and 19,847.32 is: 27,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.38 : 49,652.97 = 19,847.32 : x
  2. Step 2: Convert to fraction form
    35,980.38/49,652.97 = 19,847.32/x
  3. Step 3: Cross multiply
    35,980.38x = 49,652.97 × 19,847.32
  4. Step 4: Simplify right side
    35,980.38x = 985,478,472.23
  5. Step 5: Solve for x
    x = 985,478,472.23/35,980.38
  6. Step 6: Final answer
    x = 27,389.33

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Why These Related Problems?

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