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Finding the Fourth Proportional to 114,643.80, 171,965.70 and 35,757.90

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Solution

The fourth proportional to 114,643.80, 171,965.70 and 35,757.90 is: 53,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,643.80 : 171,965.70 = 35,757.90 : x
  2. Step 2: Convert to fraction form
    114,643.80/171,965.70 = 35,757.90/x
  3. Step 3: Cross multiply
    114,643.80x = 171,965.70 × 35,757.90
  4. Step 4: Simplify right side
    114,643.80x = 6,149,132,304.03
  5. Step 5: Solve for x
    x = 6,149,132,304.03/114,643.80
  6. Step 6: Final answer
    x = 53,636.85

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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.