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Finding the Fourth Proportional to 71,668.52, 107,503.74 and 24,922.28

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Solution

The fourth proportional to 71,668.52, 107,503.74 and 24,922.28 is: 37,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668.52 : 107,503.74 = 24,922.28 : x
  2. Step 2: Convert to fraction form
    71,668.52/107,503.74 = 24,922.28/x
  3. Step 3: Cross multiply
    71,668.52x = 107,503.74 × 24,922.28
  4. Step 4: Simplify right side
    71,668.52x = 2,679,238,309.33
  5. Step 5: Solve for x
    x = 2,679,238,309.33/71,668.52
  6. Step 6: Final answer
    x = 37,383.75

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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.