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Finding the Fourth Proportional to 33,102.96, 49,649.30 and 9,411.60

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Solution

The fourth proportional to 33,102.96, 49,649.30 and 9,411.60 is: 14,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.96 : 49,649.30 = 9,411.60 : x
  2. Step 2: Convert to fraction form
    33,102.96/49,649.30 = 9,411.60/x
  3. Step 3: Cross multiply
    33,102.96x = 49,649.30 × 9,411.60
  4. Step 4: Simplify right side
    33,102.96x = 467,279,304.82
  5. Step 5: Solve for x
    x = 467,279,304.82/33,102.96
  6. Step 6: Final answer
    x = 14,115.94

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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.