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Finding the Fourth Proportional to 41,901.20, 57,822.16 and 23,038.16

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Solution

The fourth proportional to 41,901.20, 57,822.16 and 23,038.16 is: 31,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,901.20 : 57,822.16 = 23,038.16 : x
  2. Step 2: Convert to fraction form
    41,901.20/57,822.16 = 23,038.16/x
  3. Step 3: Cross multiply
    41,901.20x = 57,822.16 × 23,038.16
  4. Step 4: Simplify right side
    41,901.20x = 1,332,116,173.63
  5. Step 5: Solve for x
    x = 1,332,116,173.63/41,901.20
  6. Step 6: Final answer
    x = 31,791.84

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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.