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Finding the Fourth Proportional to 31,792.70, 47,537.22 and 29,004.24

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Solution

The fourth proportional to 31,792.70, 47,537.22 and 29,004.24 is: 43,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.70 : 47,537.22 = 29,004.24 : x
  2. Step 2: Convert to fraction form
    31,792.70/47,537.22 = 29,004.24/x
  3. Step 3: Cross multiply
    31,792.70x = 47,537.22 × 29,004.24
  4. Step 4: Simplify right side
    31,792.70x = 1,378,780,937.81
  5. Step 5: Solve for x
    x = 1,378,780,937.81/31,792.70
  6. Step 6: Final answer
    x = 43,367.85

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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.