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Finding the Fourth Proportional to 92,104.14, 137,975.42 and 47,759.88

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Solution

The fourth proportional to 92,104.14, 137,975.42 and 47,759.88 is: 71,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104.14 : 137,975.42 = 47,759.88 : x
  2. Step 2: Convert to fraction form
    92,104.14/137,975.42 = 47,759.88/x
  3. Step 3: Cross multiply
    92,104.14x = 137,975.42 × 47,759.88
  4. Step 4: Simplify right side
    92,104.14x = 6,589,689,502.15
  5. Step 5: Solve for x
    x = 6,589,689,502.15/92,104.14
  6. Step 6: Final answer
    x = 71,546.07

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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.