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Finding the Fourth Proportional to 31,580.34, 43,580.82 and 17,433.15

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Solution

The fourth proportional to 31,580.34, 43,580.82 and 17,433.15 is: 24,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.34 : 43,580.82 = 17,433.15 : x
  2. Step 2: Convert to fraction form
    31,580.34/43,580.82 = 17,433.15/x
  3. Step 3: Cross multiply
    31,580.34x = 43,580.82 × 17,433.15
  4. Step 4: Simplify right side
    31,580.34x = 759,750,754.28
  5. Step 5: Solve for x
    x = 759,750,754.28/31,580.34
  6. Step 6: Final answer
    x = 24,057.72

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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.