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Finding the Fourth Proportional to 31,178.16, 43,009.80 and 21,107.04

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Solution

The fourth proportional to 31,178.16, 43,009.80 and 21,107.04 is: 29,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.16 : 43,009.80 = 21,107.04 : x
  2. Step 2: Convert to fraction form
    31,178.16/43,009.80 = 21,107.04/x
  3. Step 3: Cross multiply
    31,178.16x = 43,009.80 × 21,107.04
  4. Step 4: Simplify right side
    31,178.16x = 907,809,568.99
  5. Step 5: Solve for x
    x = 907,809,568.99/31,178.16
  6. Step 6: Final answer
    x = 29,116.84

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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.