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Finding the Fourth Proportional to 31,486.80, 43,429.32 and 20,298

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Solution

The fourth proportional to 31,486.80, 43,429.32 and 20,298 is: 27,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.80 : 43,429.32 = 20,298 : x
  2. Step 2: Convert to fraction form
    31,486.80/43,429.32 = 20,298/x
  3. Step 3: Cross multiply
    31,486.80x = 43,429.32 × 20,298
  4. Step 4: Simplify right side
    31,486.80x = 881,528,337.36
  5. Step 5: Solve for x
    x = 881,528,337.36/31,486.80
  6. Step 6: Final answer
    x = 27,996.76

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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.