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Finding the Fourth Proportional to 30,891.38, 42,634.65 and 19,561.91

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Solution

The fourth proportional to 30,891.38, 42,634.65 and 19,561.91 is: 26,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 42,634.65 = 19,561.91 : x
  2. Step 2: Convert to fraction form
    30,891.38/42,634.65 = 19,561.91/x
  3. Step 3: Cross multiply
    30,891.38x = 42,634.65 × 19,561.91
  4. Step 4: Simplify right side
    30,891.38x = 834,014,973.01
  5. Step 5: Solve for x
    x = 834,014,973.01/30,891.38
  6. Step 6: Final answer
    x = 26,998.31

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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.