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Finding the Fourth Proportional to 31,673.58, 47,510.73 and 8,302.38

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Solution

The fourth proportional to 31,673.58, 47,510.73 and 8,302.38 is: 12,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.58 : 47,510.73 = 8,302.38 : x
  2. Step 2: Convert to fraction form
    31,673.58/47,510.73 = 8,302.38/x
  3. Step 3: Cross multiply
    31,673.58x = 47,510.73 × 8,302.38
  4. Step 4: Simplify right side
    31,673.58x = 394,452,134.54
  5. Step 5: Solve for x
    x = 394,452,134.54/31,673.58
  6. Step 6: Final answer
    x = 12,453.66

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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.