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Finding the Fourth Proportional to 31,564.28, 43,559 and 17,417

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Solution

The fourth proportional to 31,564.28, 43,559 and 17,417 is: 24,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.28 : 43,559 = 17,417 : x
  2. Step 2: Convert to fraction form
    31,564.28/43,559 = 17,417/x
  3. Step 3: Cross multiply
    31,564.28x = 43,559 × 17,417
  4. Step 4: Simplify right side
    31,564.28x = 758,667,103
  5. Step 5: Solve for x
    x = 758,667,103/31,564.28
  6. Step 6: Final answer
    x = 24,035.62

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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.