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Finding the Fourth Proportional to 82,110.54, 122,858.25 and 58,472.70

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Solution

The fourth proportional to 82,110.54, 122,858.25 and 58,472.70 is: 87,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110.54 : 122,858.25 = 58,472.70 : x
  2. Step 2: Convert to fraction form
    82,110.54/122,858.25 = 58,472.70/x
  3. Step 3: Cross multiply
    82,110.54x = 122,858.25 × 58,472.70
  4. Step 4: Simplify right side
    82,110.54x = 7,183,853,594.78
  5. Step 5: Solve for x
    x = 7,183,853,594.78/82,110.54
  6. Step 6: Final answer
    x = 87,490.03

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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.