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Finding the Fourth Proportional to 31,930.57, 44,065.55 and 17,783.42

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Solution

The fourth proportional to 31,930.57, 44,065.55 and 17,783.42 is: 24,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.57 : 44,065.55 = 17,783.42 : x
  2. Step 2: Convert to fraction form
    31,930.57/44,065.55 = 17,783.42/x
  3. Step 3: Cross multiply
    31,930.57x = 44,065.55 × 17,783.42
  4. Step 4: Simplify right side
    31,930.57x = 783,636,007.31
  5. Step 5: Solve for x
    x = 783,636,007.31/31,930.57
  6. Step 6: Final answer
    x = 24,541.88

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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.