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Finding the Fourth Proportional to 39,924.56, 55,096.56 and 24,006

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Solution

The fourth proportional to 39,924.56, 55,096.56 and 24,006 is: 33,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924.56 : 55,096.56 = 24,006 : x
  2. Step 2: Convert to fraction form
    39,924.56/55,096.56 = 24,006/x
  3. Step 3: Cross multiply
    39,924.56x = 55,096.56 × 24,006
  4. Step 4: Simplify right side
    39,924.56x = 1,322,648,019.36
  5. Step 5: Solve for x
    x = 1,322,648,019.36/39,924.56
  6. Step 6: Final answer
    x = 33,128.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.