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Finding the Fourth Proportional to 33,083.64, 49,542.30 and 25,693.25

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Solution

The fourth proportional to 33,083.64, 49,542.30 and 25,693.25 is: 38,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.64 : 49,542.30 = 25,693.25 : x
  2. Step 2: Convert to fraction form
    33,083.64/49,542.30 = 25,693.25/x
  3. Step 3: Cross multiply
    33,083.64x = 49,542.30 × 25,693.25
  4. Step 4: Simplify right side
    33,083.64x = 1,272,902,451.76
  5. Step 5: Solve for x
    x = 1,272,902,451.76/33,083.64
  6. Step 6: Final answer
    x = 38,475.28

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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.