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Finding the Fourth Proportional to 83,465.92, 115,194 and 47,647.84

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Solution

The fourth proportional to 83,465.92, 115,194 and 47,647.84 is: 65,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.92 : 115,194 = 47,647.84 : x
  2. Step 2: Convert to fraction form
    83,465.92/115,194 = 47,647.84/x
  3. Step 3: Cross multiply
    83,465.92x = 115,194 × 47,647.84
  4. Step 4: Simplify right side
    83,465.92x = 5,488,745,280.96
  5. Step 5: Solve for x
    x = 5,488,745,280.96/83,465.92
  6. Step 6: Final answer
    x = 65,760.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.