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Finding the Fourth Proportional to 31,580.46, 43,580.92 and 17,433.20

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Solution

The fourth proportional to 31,580.46, 43,580.92 and 17,433.20 is: 24,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.46 : 43,580.92 = 17,433.20 : x
  2. Step 2: Convert to fraction form
    31,580.46/43,580.92 = 17,433.20/x
  3. Step 3: Cross multiply
    31,580.46x = 43,580.92 × 17,433.20
  4. Step 4: Simplify right side
    31,580.46x = 759,754,894.54
  5. Step 5: Solve for x
    x = 759,754,894.54/31,580.46
  6. Step 6: Final answer
    x = 24,057.75

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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.