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Finding the Fourth Proportional to 34,636.68, 51,963.86 and 9,676.80

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Solution

The fourth proportional to 34,636.68, 51,963.86 and 9,676.80 is: 14,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,636.68 : 51,963.86 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    34,636.68/51,963.86 = 9,676.80/x
  3. Step 3: Cross multiply
    34,636.68x = 51,963.86 × 9,676.80
  4. Step 4: Simplify right side
    34,636.68x = 502,843,904.64
  5. Step 5: Solve for x
    x = 502,843,904.64/34,636.68
  6. Step 6: Final answer
    x = 14,517.67

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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.