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Finding the Fourth Proportional to 31,171.69, 43,017.15 and 17,024.86

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Solution

The fourth proportional to 31,171.69, 43,017.15 and 17,024.86 is: 23,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.69 : 43,017.15 = 17,024.86 : x
  2. Step 2: Convert to fraction form
    31,171.69/43,017.15 = 17,024.86/x
  3. Step 3: Cross multiply
    31,171.69x = 43,017.15 × 17,024.86
  4. Step 4: Simplify right side
    31,171.69x = 732,360,956.35
  5. Step 5: Solve for x
    x = 732,360,956.35/31,171.69
  6. Step 6: Final answer
    x = 23,494.43

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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.