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Finding the Fourth Proportional to 114,462.80, 171,723.35 and 35,577.70

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Solution

The fourth proportional to 114,462.80, 171,723.35 and 35,577.70 is: 53,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.80 : 171,723.35 = 35,577.70 : x
  2. Step 2: Convert to fraction form
    114,462.80/171,723.35 = 35,577.70/x
  3. Step 3: Cross multiply
    114,462.80x = 171,723.35 × 35,577.70
  4. Step 4: Simplify right side
    114,462.80x = 6,109,521,829.30
  5. Step 5: Solve for x
    x = 6,109,521,829.30/114,462.80
  6. Step 6: Final answer
    x = 53,375.61

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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.