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Finding the Fourth Proportional to 33,810.15, 46,660.92 and 19,662

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Solution

The fourth proportional to 33,810.15, 46,660.92 and 19,662 is: 27,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.15 : 46,660.92 = 19,662 : x
  2. Step 2: Convert to fraction form
    33,810.15/46,660.92 = 19,662/x
  3. Step 3: Cross multiply
    33,810.15x = 46,660.92 × 19,662
  4. Step 4: Simplify right side
    33,810.15x = 917,447,009.04
  5. Step 5: Solve for x
    x = 917,447,009.04/33,810.15
  6. Step 6: Final answer
    x = 27,135.25

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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.