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Finding the Fourth Proportional to 41,873.10, 57,784.22 and 23,009.82

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Solution

The fourth proportional to 41,873.10, 57,784.22 and 23,009.82 is: 31,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,873.10 : 57,784.22 = 23,009.82 : x
  2. Step 2: Convert to fraction form
    41,873.10/57,784.22 = 23,009.82/x
  3. Step 3: Cross multiply
    41,873.10x = 57,784.22 × 23,009.82
  4. Step 4: Simplify right side
    41,873.10x = 1,329,604,558.56
  5. Step 5: Solve for x
    x = 1,329,604,558.56/41,873.10
  6. Step 6: Final answer
    x = 31,753.19

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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.