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Finding the Fourth Proportional to 31,412.36, 43,387.54 and 23,489.84

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Solution

The fourth proportional to 31,412.36, 43,387.54 and 23,489.84 is: 32,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.36 : 43,387.54 = 23,489.84 : x
  2. Step 2: Convert to fraction form
    31,412.36/43,387.54 = 23,489.84/x
  3. Step 3: Cross multiply
    31,412.36x = 43,387.54 × 23,489.84
  4. Step 4: Simplify right side
    31,412.36x = 1,019,166,372.59
  5. Step 5: Solve for x
    x = 1,019,166,372.59/31,412.36
  6. Step 6: Final answer
    x = 32,444.76

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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.