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Finding the Fourth Proportional to 31,406.72, 43,340.42 and 17,259.58

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Solution

The fourth proportional to 31,406.72, 43,340.42 and 17,259.58 is: 23,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.72 : 43,340.42 = 17,259.58 : x
  2. Step 2: Convert to fraction form
    31,406.72/43,340.42 = 17,259.58/x
  3. Step 3: Cross multiply
    31,406.72x = 43,340.42 × 17,259.58
  4. Step 4: Simplify right side
    31,406.72x = 748,037,446.22
  5. Step 5: Solve for x
    x = 748,037,446.22/31,406.72
  6. Step 6: Final answer
    x = 23,817.75

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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.