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Finding the Fourth Proportional to 33,364, 46,034.92 and 19,933.20

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Solution

The fourth proportional to 33,364, 46,034.92 and 19,933.20 is: 27,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,364 : 46,034.92 = 19,933.20 : x
  2. Step 2: Convert to fraction form
    33,364/46,034.92 = 19,933.20/x
  3. Step 3: Cross multiply
    33,364x = 46,034.92 × 19,933.20
  4. Step 4: Simplify right side
    33,364x = 917,623,267.34
  5. Step 5: Solve for x
    x = 917,623,267.34/33,364
  6. Step 6: Final answer
    x = 27,503.39

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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.