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Finding the Fourth Proportional to 92,104.13, 137,975.43 and 47,759.87

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Solution

The fourth proportional to 92,104.13, 137,975.43 and 47,759.87 is: 71,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104.13 : 137,975.43 = 47,759.87 : x
  2. Step 2: Convert to fraction form
    92,104.13/137,975.43 = 47,759.87/x
  3. Step 3: Cross multiply
    92,104.13x = 137,975.43 × 47,759.87
  4. Step 4: Simplify right side
    92,104.13x = 6,589,688,599.99
  5. Step 5: Solve for x
    x = 6,589,688,599.99/92,104.13
  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.