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Finding the Fourth Proportional to 30,758.82, 46,100.16 and 21,859.97

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Solution

The fourth proportional to 30,758.82, 46,100.16 and 21,859.97 is: 32,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.82 : 46,100.16 = 21,859.97 : x
  2. Step 2: Convert to fraction form
    30,758.82/46,100.16 = 21,859.97/x
  3. Step 3: Cross multiply
    30,758.82x = 46,100.16 × 21,859.97
  4. Step 4: Simplify right side
    30,758.82x = 1,007,747,884.09
  5. Step 5: Solve for x
    x = 1,007,747,884.09/30,758.82
  6. Step 6: Final answer
    x = 32,762.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.