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Finding the Fourth Proportional to 81,672.88, 122,513.50 and 22,507.24

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Solution

The fourth proportional to 81,672.88, 122,513.50 and 22,507.24 is: 33,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672.88 : 122,513.50 = 22,507.24 : x
  2. Step 2: Convert to fraction form
    81,672.88/122,513.50 = 22,507.24/x
  3. Step 3: Cross multiply
    81,672.88x = 122,513.50 × 22,507.24
  4. Step 4: Simplify right side
    81,672.88x = 2,757,440,747.74
  5. Step 5: Solve for x
    x = 2,757,440,747.74/81,672.88
  6. Step 6: Final answer
    x = 33,762.01

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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.