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Finding the Fourth Proportional to 87,478.38, 120,690 and 49,230.18

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Solution

The fourth proportional to 87,478.38, 120,690 and 49,230.18 is: 67,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,478.38 : 120,690 = 49,230.18 : x
  2. Step 2: Convert to fraction form
    87,478.38/120,690 = 49,230.18/x
  3. Step 3: Cross multiply
    87,478.38x = 120,690 × 49,230.18
  4. Step 4: Simplify right side
    87,478.38x = 5,941,590,424.20
  5. Step 5: Solve for x
    x = 5,941,590,424.20/87,478.38
  6. Step 6: Final answer
    x = 67,920.67

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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.