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Finding the Fourth Proportional to 29,775, 44,676.14 and 12,913.17

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Solution

The fourth proportional to 29,775, 44,676.14 and 12,913.17 is: 19,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775 : 44,676.14 = 12,913.17 : x
  2. Step 2: Convert to fraction form
    29,775/44,676.14 = 12,913.17/x
  3. Step 3: Cross multiply
    29,775x = 44,676.14 × 12,913.17
  4. Step 4: Simplify right side
    29,775x = 576,910,526.20
  5. Step 5: Solve for x
    x = 576,910,526.20/29,775
  6. Step 6: Final answer
    x = 19,375.67

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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.