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Finding the Fourth Proportional to 114,086.88, 171,069.28 and 38,152

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Solution

The fourth proportional to 114,086.88, 171,069.28 and 38,152 is: 57,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,086.88 : 171,069.28 = 38,152 : x
  2. Step 2: Convert to fraction form
    114,086.88/171,069.28 = 38,152/x
  3. Step 3: Cross multiply
    114,086.88x = 171,069.28 × 38,152
  4. Step 4: Simplify right side
    114,086.88x = 6,526,635,170.56
  5. Step 5: Solve for x
    x = 6,526,635,170.56/114,086.88
  6. Step 6: Final answer
    x = 57,207.59

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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.