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Finding the Fourth Proportional to 62,052, 85,596.96 and 38,174

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Solution

The fourth proportional to 62,052, 85,596.96 and 38,174 is: 52,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,052 : 85,596.96 = 38,174 : x
  2. Step 2: Convert to fraction form
    62,052/85,596.96 = 38,174/x
  3. Step 3: Cross multiply
    62,052x = 85,596.96 × 38,174
  4. Step 4: Simplify right side
    62,052x = 3,267,578,351.04
  5. Step 5: Solve for x
    x = 3,267,578,351.04/62,052
  6. Step 6: Final answer
    x = 52,658.71

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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.