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Finding the Fourth Proportional to 41,266.48, 61,816.46 and 19,049

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Solution

The fourth proportional to 41,266.48, 61,816.46 and 19,049 is: 28,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,266.48 : 61,816.46 = 19,049 : x
  2. Step 2: Convert to fraction form
    41,266.48/61,816.46 = 19,049/x
  3. Step 3: Cross multiply
    41,266.48x = 61,816.46 × 19,049
  4. Step 4: Simplify right side
    41,266.48x = 1,177,541,746.54
  5. Step 5: Solve for x
    x = 1,177,541,746.54/41,266.48
  6. Step 6: Final answer
    x = 28,535.07

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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.