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Finding the Fourth Proportional to 31,633.90, 47,455.04 and 11,640.67

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Solution

The fourth proportional to 31,633.90, 47,455.04 and 11,640.67 is: 17,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.90 : 47,455.04 = 11,640.67 : x
  2. Step 2: Convert to fraction form
    31,633.90/47,455.04 = 11,640.67/x
  3. Step 3: Cross multiply
    31,633.90x = 47,455.04 × 11,640.67
  4. Step 4: Simplify right side
    31,633.90x = 552,408,370.94
  5. Step 5: Solve for x
    x = 552,408,370.94/31,633.90
  6. Step 6: Final answer
    x = 17,462.55

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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.