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Finding the Fourth Proportional to 33,930, 46,823.40 and 19,780.11

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Solution

The fourth proportional to 33,930, 46,823.40 and 19,780.11 is: 27,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 46,823.40 = 19,780.11 : x
  2. Step 2: Convert to fraction form
    33,930/46,823.40 = 19,780.11/x
  3. Step 3: Cross multiply
    33,930x = 46,823.40 × 19,780.11
  4. Step 4: Simplify right side
    33,930x = 926,172,002.57
  5. Step 5: Solve for x
    x = 926,172,002.57/33,930
  6. Step 6: Final answer
    x = 27,296.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.