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Finding the Fourth Proportional to 33,076.64, 49,611.11 and 9,386.28

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Solution

The fourth proportional to 33,076.64, 49,611.11 and 9,386.28 is: 14,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.64 : 49,611.11 = 9,386.28 : x
  2. Step 2: Convert to fraction form
    33,076.64/49,611.11 = 9,386.28/x
  3. Step 3: Cross multiply
    33,076.64x = 49,611.11 × 9,386.28
  4. Step 4: Simplify right side
    33,076.64x = 465,663,722.64
  5. Step 5: Solve for x
    x = 465,663,722.64/33,076.64
  6. Step 6: Final answer
    x = 14,078.32

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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.