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Finding the Fourth Proportional to 47,131, 64,992.56 and 31,209.64

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Solution

The fourth proportional to 47,131, 64,992.56 and 31,209.64 is: 43,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131 : 64,992.56 = 31,209.64 : x
  2. Step 2: Convert to fraction form
    47,131/64,992.56 = 31,209.64/x
  3. Step 3: Cross multiply
    47,131x = 64,992.56 × 31,209.64
  4. Step 4: Simplify right side
    47,131x = 2,028,394,400.28
  5. Step 5: Solve for x
    x = 2,028,394,400.28/47,131
  6. Step 6: Final answer
    x = 43,037.37

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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.