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Finding the Fourth Proportional to 102,556.74, 153,903.92 and 35,997.08

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Solution

The fourth proportional to 102,556.74, 153,903.92 and 35,997.08 is: 54,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,556.74 : 153,903.92 = 35,997.08 : x
  2. Step 2: Convert to fraction form
    102,556.74/153,903.92 = 35,997.08/x
  3. Step 3: Cross multiply
    102,556.74x = 153,903.92 × 35,997.08
  4. Step 4: Simplify right side
    102,556.74x = 5,540,090,771.05
  5. Step 5: Solve for x
    x = 5,540,090,771.05/102,556.74
  6. Step 6: Final answer
    x = 54,019.76

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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.