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Finding the Fourth Proportional to 82,453.68, 113,786.03 and 44,727.93

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Solution

The fourth proportional to 82,453.68, 113,786.03 and 44,727.93 is: 61,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453.68 : 113,786.03 = 44,727.93 : x
  2. Step 2: Convert to fraction form
    82,453.68/113,786.03 = 44,727.93/x
  3. Step 3: Cross multiply
    82,453.68x = 113,786.03 × 44,727.93
  4. Step 4: Simplify right side
    82,453.68x = 5,089,413,696.64
  5. Step 5: Solve for x
    x = 5,089,413,696.64/82,453.68
  6. Step 6: Final answer
    x = 61,724.52

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Why These Related Problems?

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