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Finding the Fourth Proportional to 41,101.40, 61,680.90 and 17,744.60

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Solution

The fourth proportional to 41,101.40, 61,680.90 and 17,744.60 is: 26,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,101.40 : 61,680.90 = 17,744.60 : x
  2. Step 2: Convert to fraction form
    41,101.40/61,680.90 = 17,744.60/x
  3. Step 3: Cross multiply
    41,101.40x = 61,680.90 × 17,744.60
  4. Step 4: Simplify right side
    41,101.40x = 1,094,502,898.14
  5. Step 5: Solve for x
    x = 1,094,502,898.14/41,101.40
  6. Step 6: Final answer
    x = 26,629.33

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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.