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Finding the Fourth Proportional to 31,732.76, 47,609.09 and 19,096.31

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Solution

The fourth proportional to 31,732.76, 47,609.09 and 19,096.31 is: 28,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732.76 : 47,609.09 = 19,096.31 : x
  2. Step 2: Convert to fraction form
    31,732.76/47,609.09 = 19,096.31/x
  3. Step 3: Cross multiply
    31,732.76x = 47,609.09 × 19,096.31
  4. Step 4: Simplify right side
    31,732.76x = 909,157,822.52
  5. Step 5: Solve for x
    x = 909,157,822.52/31,732.76
  6. Step 6: Final answer
    x = 28,650.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.