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Finding the Fourth Proportional to 77,693.34, 116,540.07 and 33,291.30

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Solution

The fourth proportional to 77,693.34, 116,540.07 and 33,291.30 is: 49,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.34 : 116,540.07 = 33,291.30 : x
  2. Step 2: Convert to fraction form
    77,693.34/116,540.07 = 33,291.30/x
  3. Step 3: Cross multiply
    77,693.34x = 116,540.07 × 33,291.30
  4. Step 4: Simplify right side
    77,693.34x = 3,879,770,432.39
  5. Step 5: Solve for x
    x = 3,879,770,432.39/77,693.34
  6. Step 6: Final answer
    x = 49,936.98

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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.