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Finding the Fourth Proportional to 114,514.78, 171,790.56 and 35,647.24

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Solution

The fourth proportional to 114,514.78, 171,790.56 and 35,647.24 is: 53,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514.78 : 171,790.56 = 35,647.24 : x
  2. Step 2: Convert to fraction form
    114,514.78/171,790.56 = 35,647.24/x
  3. Step 3: Cross multiply
    114,514.78x = 171,790.56 × 35,647.24
  4. Step 4: Simplify right side
    114,514.78x = 6,123,859,322.05
  5. Step 5: Solve for x
    x = 6,123,859,322.05/114,514.78
  6. Step 6: Final answer
    x = 53,476.58

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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.