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Finding the Fourth Proportional to 30,748.63, 46,122.98 and 8,562.05

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Solution

The fourth proportional to 30,748.63, 46,122.98 and 8,562.05 is: 12,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.63 : 46,122.98 = 8,562.05 : x
  2. Step 2: Convert to fraction form
    30,748.63/46,122.98 = 8,562.05/x
  3. Step 3: Cross multiply
    30,748.63x = 46,122.98 × 8,562.05
  4. Step 4: Simplify right side
    30,748.63x = 394,907,333.41
  5. Step 5: Solve for x
    x = 394,907,333.41/30,748.63
  6. Step 6: Final answer
    x = 12,843.09

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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.