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Finding the Fourth Proportional to 41,654.34, 57,423.21 and 29,696.91

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Solution

The fourth proportional to 41,654.34, 57,423.21 and 29,696.91 is: 40,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,654.34 : 57,423.21 = 29,696.91 : x
  2. Step 2: Convert to fraction form
    41,654.34/57,423.21 = 29,696.91/x
  3. Step 3: Cross multiply
    41,654.34x = 57,423.21 × 29,696.91
  4. Step 4: Simplify right side
    41,654.34x = 1,705,291,899.28
  5. Step 5: Solve for x
    x = 1,705,291,899.28/41,654.34
  6. Step 6: Final answer
    x = 40,939.12

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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.