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Finding the Fourth Proportional to 41,402.36, 57,202.06 and 28,883

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Solution

The fourth proportional to 41,402.36, 57,202.06 and 28,883 is: 39,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.36 : 57,202.06 = 28,883 : x
  2. Step 2: Convert to fraction form
    41,402.36/57,202.06 = 28,883/x
  3. Step 3: Cross multiply
    41,402.36x = 57,202.06 × 28,883
  4. Step 4: Simplify right side
    41,402.36x = 1,652,167,098.98
  5. Step 5: Solve for x
    x = 1,652,167,098.98/41,402.36
  6. Step 6: Final answer
    x = 39,905.14

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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.