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Finding the Fourth Proportional to 31,930.28, 44,065.15 and 17,783.12

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Solution

The fourth proportional to 31,930.28, 44,065.15 and 17,783.12 is: 24,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.28 : 44,065.15 = 17,783.12 : x
  2. Step 2: Convert to fraction form
    31,930.28/44,065.15 = 17,783.12/x
  3. Step 3: Cross multiply
    31,930.28x = 44,065.15 × 17,783.12
  4. Step 4: Simplify right side
    31,930.28x = 783,615,850.27
  5. Step 5: Solve for x
    x = 783,615,850.27/31,930.28
  6. Step 6: Final answer
    x = 24,541.47

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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.