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Finding the Fourth Proportional to 34,418.92, 51,630.30 and 9,793

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Solution

The fourth proportional to 34,418.92, 51,630.30 and 9,793 is: 14,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418.92 : 51,630.30 = 9,793 : x
  2. Step 2: Convert to fraction form
    34,418.92/51,630.30 = 9,793/x
  3. Step 3: Cross multiply
    34,418.92x = 51,630.30 × 9,793
  4. Step 4: Simplify right side
    34,418.92x = 505,615,527.90
  5. Step 5: Solve for x
    x = 505,615,527.90/34,418.92
  6. Step 6: Final answer
    x = 14,690.05

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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.