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Finding the Fourth Proportional to 114,412.20, 171,650.70 and 35,534.40

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Solution

The fourth proportional to 114,412.20, 171,650.70 and 35,534.40 is: 53,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,412.20 : 171,650.70 = 35,534.40 : x
  2. Step 2: Convert to fraction form
    114,412.20/171,650.70 = 35,534.40/x
  3. Step 3: Cross multiply
    114,412.20x = 171,650.70 × 35,534.40
  4. Step 4: Simplify right side
    114,412.20x = 6,099,504,634.08
  5. Step 5: Solve for x
    x = 6,099,504,634.08/114,412.20
  6. Step 6: Final answer
    x = 53,311.66

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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.