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Finding the Fourth Proportional to 48,529, 72,790.24 and 13,468.96

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Solution

The fourth proportional to 48,529, 72,790.24 and 13,468.96 is: 20,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,529 : 72,790.24 = 13,468.96 : x
  2. Step 2: Convert to fraction form
    48,529/72,790.24 = 13,468.96/x
  3. Step 3: Cross multiply
    48,529x = 72,790.24 × 13,468.96
  4. Step 4: Simplify right side
    48,529x = 980,408,830.95
  5. Step 5: Solve for x
    x = 980,408,830.95/48,529
  6. Step 6: Final answer
    x = 20,202.54

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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.