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Finding the Fourth Proportional to 33,535, 46,278.30 and 18,631

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Solution

The fourth proportional to 33,535, 46,278.30 and 18,631 is: 25,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535 : 46,278.30 = 18,631 : x
  2. Step 2: Convert to fraction form
    33,535/46,278.30 = 18,631/x
  3. Step 3: Cross multiply
    33,535x = 46,278.30 × 18,631
  4. Step 4: Simplify right side
    33,535x = 862,211,007.30
  5. Step 5: Solve for x
    x = 862,211,007.30/33,535
  6. Step 6: Final answer
    x = 25,710.78

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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.