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Finding the Fourth Proportional to 34,949.20, 52,423.20 and 8,653.96

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Solution

The fourth proportional to 34,949.20, 52,423.20 and 8,653.96 is: 12,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,949.20 : 52,423.20 = 8,653.96 : x
  2. Step 2: Convert to fraction form
    34,949.20/52,423.20 = 8,653.96/x
  3. Step 3: Cross multiply
    34,949.20x = 52,423.20 × 8,653.96
  4. Step 4: Simplify right side
    34,949.20x = 453,668,275.87
  5. Step 5: Solve for x
    x = 453,668,275.87/34,949.20
  6. Step 6: Final answer
    x = 12,980.79

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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.