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Finding the Fourth Proportional to 103,805.85, 155,675.97 and 37,244.49

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Solution

The fourth proportional to 103,805.85, 155,675.97 and 37,244.49 is: 55,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805.85 : 155,675.97 = 37,244.49 : x
  2. Step 2: Convert to fraction form
    103,805.85/155,675.97 = 37,244.49/x
  3. Step 3: Cross multiply
    103,805.85x = 155,675.97 × 37,244.49
  4. Step 4: Simplify right side
    103,805.85x = 5,798,072,107.91
  5. Step 5: Solve for x
    x = 5,798,072,107.91/103,805.85
  6. Step 6: Final answer
    x = 55,854.96

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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.