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Finding the Fourth Proportional to 87,416.20, 120,630.90 and 49,688.20

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Solution

The fourth proportional to 87,416.20, 120,630.90 and 49,688.20 is: 68,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416.20 : 120,630.90 = 49,688.20 : x
  2. Step 2: Convert to fraction form
    87,416.20/120,630.90 = 49,688.20/x
  3. Step 3: Cross multiply
    87,416.20x = 120,630.90 × 49,688.20
  4. Step 4: Simplify right side
    87,416.20x = 5,993,932,285.38
  5. Step 5: Solve for x
    x = 5,993,932,285.38/87,416.20
  6. Step 6: Final answer
    x = 68,567.75

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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.