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Finding the Fourth Proportional to 33,650, 46,393.87 and 27,577.89

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Solution

The fourth proportional to 33,650, 46,393.87 and 27,577.89 is: 38,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650 : 46,393.87 = 27,577.89 : x
  2. Step 2: Convert to fraction form
    33,650/46,393.87 = 27,577.89/x
  3. Step 3: Cross multiply
    33,650x = 46,393.87 × 27,577.89
  4. Step 4: Simplify right side
    33,650x = 1,279,444,927.55
  5. Step 5: Solve for x
    x = 1,279,444,927.55/33,650
  6. Step 6: Final answer
    x = 38,022.14

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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.