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Finding the Fourth Proportional to 102,648.68, 153,843.42 and 50,074.60

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Solution

The fourth proportional to 102,648.68, 153,843.42 and 50,074.60 is: 75,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.68 : 153,843.42 = 50,074.60 : x
  2. Step 2: Convert to fraction form
    102,648.68/153,843.42 = 50,074.60/x
  3. Step 3: Cross multiply
    102,648.68x = 153,843.42 × 50,074.60
  4. Step 4: Simplify right side
    102,648.68x = 7,703,647,719.13
  5. Step 5: Solve for x
    x = 7,703,647,719.13/102,648.68
  6. Step 6: Final answer
    x = 75,048.68

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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.