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Finding the Fourth Proportional to 71,606.25, 107,409.38 and 22,358.25

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Solution

The fourth proportional to 71,606.25, 107,409.38 and 22,358.25 is: 33,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,606.25 : 107,409.38 = 22,358.25 : x
  2. Step 2: Convert to fraction form
    71,606.25/107,409.38 = 22,358.25/x
  3. Step 3: Cross multiply
    71,606.25x = 107,409.38 × 22,358.25
  4. Step 4: Simplify right side
    71,606.25x = 2,401,485,658.59
  5. Step 5: Solve for x
    x = 2,401,485,658.59/71,606.25
  6. Step 6: Final answer
    x = 33,537.38

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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.