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Finding the Fourth Proportional to 33,980.40, 46,897.13 and 19,837.80

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Solution

The fourth proportional to 33,980.40, 46,897.13 and 19,837.80 is: 27,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.40 : 46,897.13 = 19,837.80 : x
  2. Step 2: Convert to fraction form
    33,980.40/46,897.13 = 19,837.80/x
  3. Step 3: Cross multiply
    33,980.40x = 46,897.13 × 19,837.80
  4. Step 4: Simplify right side
    33,980.40x = 930,335,786.33
  5. Step 5: Solve for x
    x = 930,335,786.33/33,980.40
  6. Step 6: Final answer
    x = 27,378.60

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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.