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Finding the Fourth Proportional to 117,174.68, 175,770.24 and 47,054

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Solution

The fourth proportional to 117,174.68, 175,770.24 and 47,054 is: 70,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,174.68 : 175,770.24 = 47,054 : x
  2. Step 2: Convert to fraction form
    117,174.68/175,770.24 = 47,054/x
  3. Step 3: Cross multiply
    117,174.68x = 175,770.24 × 47,054
  4. Step 4: Simplify right side
    117,174.68x = 8,270,692,872.96
  5. Step 5: Solve for x
    x = 8,270,692,872.96/117,174.68
  6. Step 6: Final answer
    x = 70,584.30

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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.