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Finding the Fourth Proportional to 31,892.16, 48,137.79 and 31,892.16

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Solution

The fourth proportional to 31,892.16, 48,137.79 and 31,892.16 is: 48,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.16 : 48,137.79 = 31,892.16 : x
  2. Step 2: Convert to fraction form
    31,892.16/48,137.79 = 31,892.16/x
  3. Step 3: Cross multiply
    31,892.16x = 48,137.79 × 31,892.16
  4. Step 4: Simplify right side
    31,892.16x = 1,535,218,100.73
  5. Step 5: Solve for x
    x = 1,535,218,100.73/31,892.16
  6. Step 6: Final answer
    x = 48,137.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.