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Finding the Fourth Proportional to 77,494.32, 116,245.80 and 22,086

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Solution

The fourth proportional to 77,494.32, 116,245.80 and 22,086 is: 33,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494.32 : 116,245.80 = 22,086 : x
  2. Step 2: Convert to fraction form
    77,494.32/116,245.80 = 22,086/x
  3. Step 3: Cross multiply
    77,494.32x = 116,245.80 × 22,086
  4. Step 4: Simplify right side
    77,494.32x = 2,567,404,738.80
  5. Step 5: Solve for x
    x = 2,567,404,738.80/77,494.32
  6. Step 6: Final answer
    x = 33,130.23

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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.