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Finding the Fourth Proportional to 34,197.80, 51,303.98 and 10,824.44

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Solution

The fourth proportional to 34,197.80, 51,303.98 and 10,824.44 is: 16,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.80 : 51,303.98 = 10,824.44 : x
  2. Step 2: Convert to fraction form
    34,197.80/51,303.98 = 10,824.44/x
  3. Step 3: Cross multiply
    34,197.80x = 51,303.98 × 10,824.44
  4. Step 4: Simplify right side
    34,197.80x = 555,336,623.81
  5. Step 5: Solve for x
    x = 555,336,623.81/34,197.80
  6. Step 6: Final answer
    x = 16,238.96

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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.