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Finding the Fourth Proportional to 72,883.02, 109,287 and 33,406.32

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Solution

The fourth proportional to 72,883.02, 109,287 and 33,406.32 is: 50,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.02 : 109,287 = 33,406.32 : x
  2. Step 2: Convert to fraction form
    72,883.02/109,287 = 33,406.32/x
  3. Step 3: Cross multiply
    72,883.02x = 109,287 × 33,406.32
  4. Step 4: Simplify right side
    72,883.02x = 3,650,876,493.84
  5. Step 5: Solve for x
    x = 3,650,876,493.84/72,883.02
  6. Step 6: Final answer
    x = 50,092.28

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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.