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Finding the Fourth Proportional to 82,928.81, 124,393.22 and 27,524.81

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Solution

The fourth proportional to 82,928.81, 124,393.22 and 27,524.81 is: 41,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928.81 : 124,393.22 = 27,524.81 : x
  2. Step 2: Convert to fraction form
    82,928.81/124,393.22 = 27,524.81/x
  3. Step 3: Cross multiply
    82,928.81x = 124,393.22 × 27,524.81
  4. Step 4: Simplify right side
    82,928.81x = 3,423,900,022.37
  5. Step 5: Solve for x
    x = 3,423,900,022.37/82,928.81
  6. Step 6: Final answer
    x = 41,287.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.