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Finding the Fourth Proportional to 82,952.82, 124,441.78 and 30,349.80

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Solution

The fourth proportional to 82,952.82, 124,441.78 and 30,349.80 is: 45,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.82 : 124,441.78 = 30,349.80 : x
  2. Step 2: Convert to fraction form
    82,952.82/124,441.78 = 30,349.80/x
  3. Step 3: Cross multiply
    82,952.82x = 124,441.78 × 30,349.80
  4. Step 4: Simplify right side
    82,952.82x = 3,776,783,134.64
  5. Step 5: Solve for x
    x = 3,776,783,134.64/82,952.82
  6. Step 6: Final answer
    x = 45,529.29

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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.