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Finding the Fourth Proportional to 31,727.40, 43,782.02 and 17,580.20

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Solution

The fourth proportional to 31,727.40, 43,782.02 and 17,580.20 is: 24,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.40 : 43,782.02 = 17,580.20 : x
  2. Step 2: Convert to fraction form
    31,727.40/43,782.02 = 17,580.20/x
  3. Step 3: Cross multiply
    31,727.40x = 43,782.02 × 17,580.20
  4. Step 4: Simplify right side
    31,727.40x = 769,696,668.00
  5. Step 5: Solve for x
    x = 769,696,668.00/31,727.40
  6. Step 6: Final answer
    x = 24,259.68

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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.