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Finding the Fourth Proportional to 62,174, 85,800.16 and 33,879.68

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Solution

The fourth proportional to 62,174, 85,800.16 and 33,879.68 is: 46,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,174 : 85,800.16 = 33,879.68 : x
  2. Step 2: Convert to fraction form
    62,174/85,800.16 = 33,879.68/x
  3. Step 3: Cross multiply
    62,174x = 85,800.16 × 33,879.68
  4. Step 4: Simplify right side
    62,174x = 2,906,881,964.75
  5. Step 5: Solve for x
    x = 2,906,881,964.75/62,174
  6. Step 6: Final answer
    x = 46,753.98

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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.