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Finding the Fourth Proportional to 34,961.68, 52,450.11 and 12,775.02

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Solution

The fourth proportional to 34,961.68, 52,450.11 and 12,775.02 is: 19,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,961.68 : 52,450.11 = 12,775.02 : x
  2. Step 2: Convert to fraction form
    34,961.68/52,450.11 = 12,775.02/x
  3. Step 3: Cross multiply
    34,961.68x = 52,450.11 × 12,775.02
  4. Step 4: Simplify right side
    34,961.68x = 670,050,878.13
  5. Step 5: Solve for x
    x = 670,050,878.13/34,961.68
  6. Step 6: Final answer
    x = 19,165.30

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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.