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Finding the Fourth Proportional to 41,885.82, 57,802.42 and 23,022.94

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Solution

The fourth proportional to 41,885.82, 57,802.42 and 23,022.94 is: 31,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,885.82 : 57,802.42 = 23,022.94 : x
  2. Step 2: Convert to fraction form
    41,885.82/57,802.42 = 23,022.94/x
  3. Step 3: Cross multiply
    41,885.82x = 57,802.42 × 23,022.94
  4. Step 4: Simplify right side
    41,885.82x = 1,330,781,647.51
  5. Step 5: Solve for x
    x = 1,330,781,647.51/41,885.82
  6. Step 6: Final answer
    x = 31,771.65

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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.