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Finding the Fourth Proportional to 31,735.96, 47,606.33 and 10,676.06

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Solution

The fourth proportional to 31,735.96, 47,606.33 and 10,676.06 is: 16,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.96 : 47,606.33 = 10,676.06 : x
  2. Step 2: Convert to fraction form
    31,735.96/47,606.33 = 10,676.06/x
  3. Step 3: Cross multiply
    31,735.96x = 47,606.33 × 10,676.06
  4. Step 4: Simplify right side
    31,735.96x = 508,248,035.46
  5. Step 5: Solve for x
    x = 508,248,035.46/31,735.96
  6. Step 6: Final answer
    x = 16,014.89

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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.