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Finding the Fourth Proportional to 35,561.38, 49,077.00 and 19,645.83

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Solution

The fourth proportional to 35,561.38, 49,077.00 and 19,645.83 is: 27,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,561.38 : 49,077.00 = 19,645.83 : x
  2. Step 2: Convert to fraction form
    35,561.38/49,077.00 = 19,645.83/x
  3. Step 3: Cross multiply
    35,561.38x = 49,077.00 × 19,645.83
  4. Step 4: Simplify right side
    35,561.38x = 964,158,357.52
  5. Step 5: Solve for x
    x = 964,158,357.52/35,561.38
  6. Step 6: Final answer
    x = 27,112.51

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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.