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Finding the Fourth Proportional to 35,862.38, 49,489.38 and 19,946.49

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Solution

The fourth proportional to 35,862.38, 49,489.38 and 19,946.49 is: 27,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.38 : 49,489.38 = 19,946.49 : x
  2. Step 2: Convert to fraction form
    35,862.38/49,489.38 = 19,946.49/x
  3. Step 3: Cross multiply
    35,862.38x = 49,489.38 × 19,946.49
  4. Step 4: Simplify right side
    35,862.38x = 987,139,237.69
  5. Step 5: Solve for x
    x = 987,139,237.69/35,862.38
  6. Step 6: Final answer
    x = 27,525.76

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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.