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Finding the Fourth Proportional to 31,927.56, 44,059.32 and 17,781.72

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Solution

The fourth proportional to 31,927.56, 44,059.32 and 17,781.72 is: 24,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927.56 : 44,059.32 = 17,781.72 : x
  2. Step 2: Convert to fraction form
    31,927.56/44,059.32 = 17,781.72/x
  3. Step 3: Cross multiply
    31,927.56x = 44,059.32 × 17,781.72
  4. Step 4: Simplify right side
    31,927.56x = 783,450,491.63
  5. Step 5: Solve for x
    x = 783,450,491.63/31,927.56
  6. Step 6: Final answer
    x = 24,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.