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Finding the Fourth Proportional to 92,093.92, 138,270.12 and 47,147.38

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Solution

The fourth proportional to 92,093.92, 138,270.12 and 47,147.38 is: 70,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,093.92 : 138,270.12 = 47,147.38 : x
  2. Step 2: Convert to fraction form
    92,093.92/138,270.12 = 47,147.38/x
  3. Step 3: Cross multiply
    92,093.92x = 138,270.12 × 47,147.38
  4. Step 4: Simplify right side
    92,093.92x = 6,519,073,890.29
  5. Step 5: Solve for x
    x = 6,519,073,890.29/92,093.92
  6. Step 6: Final answer
    x = 70,787.23

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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.