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Finding the Fourth Proportional to 33,643.38, 46,425.78 and 19,493.76

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Solution

The fourth proportional to 33,643.38, 46,425.78 and 19,493.76 is: 26,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.38 : 46,425.78 = 19,493.76 : x
  2. Step 2: Convert to fraction form
    33,643.38/46,425.78 = 19,493.76/x
  3. Step 3: Cross multiply
    33,643.38x = 46,425.78 × 19,493.76
  4. Step 4: Simplify right side
    33,643.38x = 905,013,013.13
  5. Step 5: Solve for x
    x = 905,013,013.13/33,643.38
  6. Step 6: Final answer
    x = 26,900.18

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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.