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Finding the Fourth Proportional to 114,249.82, 171,381.99 and 35,357.42

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Solution

The fourth proportional to 114,249.82, 171,381.99 and 35,357.42 is: 53,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,249.82 : 171,381.99 = 35,357.42 : x
  2. Step 2: Convert to fraction form
    114,249.82/171,381.99 = 35,357.42/x
  3. Step 3: Cross multiply
    114,249.82x = 171,381.99 × 35,357.42
  4. Step 4: Simplify right side
    114,249.82x = 6,059,625,000.87
  5. Step 5: Solve for x
    x = 6,059,625,000.87/114,249.82
  6. Step 6: Final answer
    x = 53,038.38

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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.