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Finding the Fourth Proportional to 76,362.33, 114,497.46 and 34,234.80

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Solution

The fourth proportional to 76,362.33, 114,497.46 and 34,234.80 is: 51,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.33 : 114,497.46 = 34,234.80 : x
  2. Step 2: Convert to fraction form
    76,362.33/114,497.46 = 34,234.80/x
  3. Step 3: Cross multiply
    76,362.33x = 114,497.46 × 34,234.80
  4. Step 4: Simplify right side
    76,362.33x = 3,919,797,071.12
  5. Step 5: Solve for x
    x = 3,919,797,071.12/76,362.33
  6. Step 6: Final answer
    x = 51,331.55

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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.