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Finding the Fourth Proportional to 138,833.04, 208,249.56 and 33,652

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Solution

The fourth proportional to 138,833.04, 208,249.56 and 33,652 is: 50,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.04 : 208,249.56 = 33,652 : x
  2. Step 2: Convert to fraction form
    138,833.04/208,249.56 = 33,652/x
  3. Step 3: Cross multiply
    138,833.04x = 208,249.56 × 33,652
  4. Step 4: Simplify right side
    138,833.04x = 7,008,014,193.12
  5. Step 5: Solve for x
    x = 7,008,014,193.12/138,833.04
  6. Step 6: Final answer
    x = 50,478.00

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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.