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Finding the Fourth Proportional to 34,190.64, 47,160.05 and 29,706.71

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Solution

The fourth proportional to 34,190.64, 47,160.05 and 29,706.71 is: 40,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.64 : 47,160.05 = 29,706.71 : x
  2. Step 2: Convert to fraction form
    34,190.64/47,160.05 = 29,706.71/x
  3. Step 3: Cross multiply
    34,190.64x = 47,160.05 × 29,706.71
  4. Step 4: Simplify right side
    34,190.64x = 1,400,969,544.60
  5. Step 5: Solve for x
    x = 1,400,969,544.60/34,190.64
  6. Step 6: Final answer
    x = 40,975.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.