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Finding the Fourth Proportional to 74,000.62, 102,134.22 and 41,745.16

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Solution

The fourth proportional to 74,000.62, 102,134.22 and 41,745.16 is: 57,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.62 : 102,134.22 = 41,745.16 : x
  2. Step 2: Convert to fraction form
    74,000.62/102,134.22 = 41,745.16/x
  3. Step 3: Cross multiply
    74,000.62x = 102,134.22 × 41,745.16
  4. Step 4: Simplify right side
    74,000.62x = 4,263,609,355.38
  5. Step 5: Solve for x
    x = 4,263,609,355.38/74,000.62
  6. Step 6: Final answer
    x = 57,615.86

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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.