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Finding the Fourth Proportional to 114,471.80, 171,723.90 and 35,577.80

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Solution

The fourth proportional to 114,471.80, 171,723.90 and 35,577.80 is: 53,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471.80 : 171,723.90 = 35,577.80 : x
  2. Step 2: Convert to fraction form
    114,471.80/171,723.90 = 35,577.80/x
  3. Step 3: Cross multiply
    114,471.80x = 171,723.90 × 35,577.80
  4. Step 4: Simplify right side
    114,471.80x = 6,109,558,569.42
  5. Step 5: Solve for x
    x = 6,109,558,569.42/114,471.80
  6. Step 6: Final answer
    x = 53,371.73

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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.