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Finding the Fourth Proportional to 49,310.68, 73,965.84 and 12,374.68

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Solution

The fourth proportional to 49,310.68, 73,965.84 and 12,374.68 is: 18,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310.68 : 73,965.84 = 12,374.68 : x
  2. Step 2: Convert to fraction form
    49,310.68/73,965.84 = 12,374.68/x
  3. Step 3: Cross multiply
    49,310.68x = 73,965.84 × 12,374.68
  4. Step 4: Simplify right side
    49,310.68x = 915,303,600.93
  5. Step 5: Solve for x
    x = 915,303,600.93/49,310.68
  6. Step 6: Final answer
    x = 18,561.97

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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.