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Finding the Fourth Proportional to 31,903.82, 47,858.43 and 9,717.38

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Solution

The fourth proportional to 31,903.82, 47,858.43 and 9,717.38 is: 14,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.82 : 47,858.43 = 9,717.38 : x
  2. Step 2: Convert to fraction form
    31,903.82/47,858.43 = 9,717.38/x
  3. Step 3: Cross multiply
    31,903.82x = 47,858.43 × 9,717.38
  4. Step 4: Simplify right side
    31,903.82x = 465,058,311.22
  5. Step 5: Solve for x
    x = 465,058,311.22/31,903.82
  6. Step 6: Final answer
    x = 14,576.89

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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.