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Finding the Fourth Proportional to 77,422.01, 116,144.55 and 27,497.91

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Solution

The fourth proportional to 77,422.01, 116,144.55 and 27,497.91 is: 41,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,422.01 : 116,144.55 = 27,497.91 : x
  2. Step 2: Convert to fraction form
    77,422.01/116,144.55 = 27,497.91/x
  3. Step 3: Cross multiply
    77,422.01x = 116,144.55 × 27,497.91
  4. Step 4: Simplify right side
    77,422.01x = 3,193,732,245.40
  5. Step 5: Solve for x
    x = 3,193,732,245.40/77,422.01
  6. Step 6: Final answer
    x = 41,250.96

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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.