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Finding the Fourth Proportional to 33,859.38, 46,710.54 and 19,704

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Solution

The fourth proportional to 33,859.38, 46,710.54 and 19,704 is: 27,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,859.38 : 46,710.54 = 19,704 : x
  2. Step 2: Convert to fraction form
    33,859.38/46,710.54 = 19,704/x
  3. Step 3: Cross multiply
    33,859.38x = 46,710.54 × 19,704
  4. Step 4: Simplify right side
    33,859.38x = 920,384,480.16
  5. Step 5: Solve for x
    x = 920,384,480.16/33,859.38
  6. Step 6: Final answer
    x = 27,182.56

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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.