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Finding the Fourth Proportional to 41,174, 56,814.18 and 23,024.96

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Solution

The fourth proportional to 41,174, 56,814.18 and 23,024.96 is: 31,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174 : 56,814.18 = 23,024.96 : x
  2. Step 2: Convert to fraction form
    41,174/56,814.18 = 23,024.96/x
  3. Step 3: Cross multiply
    41,174x = 56,814.18 × 23,024.96
  4. Step 4: Simplify right side
    41,174x = 1,308,144,221.93
  5. Step 5: Solve for x
    x = 1,308,144,221.93/41,174
  6. Step 6: Final answer
    x = 31,771.12

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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.