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Finding the Fourth Proportional to 31,552.96, 47,338.41 and 12,846.42

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Solution

The fourth proportional to 31,552.96, 47,338.41 and 12,846.42 is: 19,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.96 : 47,338.41 = 12,846.42 : x
  2. Step 2: Convert to fraction form
    31,552.96/47,338.41 = 12,846.42/x
  3. Step 3: Cross multiply
    31,552.96x = 47,338.41 × 12,846.42
  4. Step 4: Simplify right side
    31,552.96x = 608,129,072.91
  5. Step 5: Solve for x
    x = 608,129,072.91/31,552.96
  6. Step 6: Final answer
    x = 19,273.28

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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.