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Finding the Fourth Proportional to 27,295.16, 40,942.80 and 8,319.96

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Solution

The fourth proportional to 27,295.16, 40,942.80 and 8,319.96 is: 12,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.16 : 40,942.80 = 8,319.96 : x
  2. Step 2: Convert to fraction form
    27,295.16/40,942.80 = 8,319.96/x
  3. Step 3: Cross multiply
    27,295.16x = 40,942.80 × 8,319.96
  4. Step 4: Simplify right side
    27,295.16x = 340,642,458.29
  5. Step 5: Solve for x
    x = 340,642,458.29/27,295.16
  6. Step 6: Final answer
    x = 12,479.96

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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.