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Finding the Fourth Proportional to 114,616.80, 171,941.40 and 35,722.80

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Solution

The fourth proportional to 114,616.80, 171,941.40 and 35,722.80 is: 53,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,616.80 : 171,941.40 = 35,722.80 : x
  2. Step 2: Convert to fraction form
    114,616.80/171,941.40 = 35,722.80/x
  3. Step 3: Cross multiply
    114,616.80x = 171,941.40 × 35,722.80
  4. Step 4: Simplify right side
    114,616.80x = 6,142,228,243.92
  5. Step 5: Solve for x
    x = 6,142,228,243.92/114,616.80
  6. Step 6: Final answer
    x = 53,589.25

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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.