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Finding the Fourth Proportional to 49,193.84, 73,738.92 and 24,518

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Solution

The fourth proportional to 49,193.84, 73,738.92 and 24,518 is: 36,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193.84 : 73,738.92 = 24,518 : x
  2. Step 2: Convert to fraction form
    49,193.84/73,738.92 = 24,518/x
  3. Step 3: Cross multiply
    49,193.84x = 73,738.92 × 24,518
  4. Step 4: Simplify right side
    49,193.84x = 1,807,930,840.56
  5. Step 5: Solve for x
    x = 1,807,930,840.56/49,193.84
  6. Step 6: Final answer
    x = 36,751.16

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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.