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Finding the Fourth Proportional to 41,971.68, 57,921.84 and 23,109.84

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Solution

The fourth proportional to 41,971.68, 57,921.84 and 23,109.84 is: 31,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,971.68 : 57,921.84 = 23,109.84 : x
  2. Step 2: Convert to fraction form
    41,971.68/57,921.84 = 23,109.84/x
  3. Step 3: Cross multiply
    41,971.68x = 57,921.84 × 23,109.84
  4. Step 4: Simplify right side
    41,971.68x = 1,338,564,454.91
  5. Step 5: Solve for x
    x = 1,338,564,454.91/41,971.68
  6. Step 6: Final answer
    x = 31,892.09

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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.