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Finding the Fourth Proportional to 76,627.62, 114,844.02 and 34,462.62

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Solution

The fourth proportional to 76,627.62, 114,844.02 and 34,462.62 is: 51,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,627.62 : 114,844.02 = 34,462.62 : x
  2. Step 2: Convert to fraction form
    76,627.62/114,844.02 = 34,462.62/x
  3. Step 3: Cross multiply
    76,627.62x = 114,844.02 × 34,462.62
  4. Step 4: Simplify right side
    76,627.62x = 3,957,825,820.53
  5. Step 5: Solve for x
    x = 3,957,825,820.53/76,627.62
  6. Step 6: Final answer
    x = 51,650.12

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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.