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Finding the Fourth Proportional to 138,828.76, 208,241.31 and 33,648.64

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Solution

The fourth proportional to 138,828.76, 208,241.31 and 33,648.64 is: 50,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,828.76 : 208,241.31 = 33,648.64 : x
  2. Step 2: Convert to fraction form
    138,828.76/208,241.31 = 33,648.64/x
  3. Step 3: Cross multiply
    138,828.76x = 208,241.31 × 33,648.64
  4. Step 4: Simplify right side
    138,828.76x = 7,007,036,873.32
  5. Step 5: Solve for x
    x = 7,007,036,873.32/138,828.76
  6. Step 6: Final answer
    x = 50,472.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.