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Finding the Fourth Proportional to 34,477.20, 51,586.20 and 22,813.20

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Solution

The fourth proportional to 34,477.20, 51,586.20 and 22,813.20 is: 34,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.20 : 51,586.20 = 22,813.20 : x
  2. Step 2: Convert to fraction form
    34,477.20/51,586.20 = 22,813.20/x
  3. Step 3: Cross multiply
    34,477.20x = 51,586.20 × 22,813.20
  4. Step 4: Simplify right side
    34,477.20x = 1,176,846,297.84
  5. Step 5: Solve for x
    x = 1,176,846,297.84/34,477.20
  6. Step 6: Final answer
    x = 34,134.05

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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.