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Finding the Fourth Proportional to 41,980.16, 57,938.92 and 31,892

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Solution

The fourth proportional to 41,980.16, 57,938.92 and 31,892 is: 44,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.16 : 57,938.92 = 31,892 : x
  2. Step 2: Convert to fraction form
    41,980.16/57,938.92 = 31,892/x
  3. Step 3: Cross multiply
    41,980.16x = 57,938.92 × 31,892
  4. Step 4: Simplify right side
    41,980.16x = 1,847,788,036.64
  5. Step 5: Solve for x
    x = 1,847,788,036.64/41,980.16
  6. Step 6: Final answer
    x = 44,015.75

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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.