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Finding the Fourth Proportional to 49,457.70, 74,169.86 and 16,169.94

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Solution

The fourth proportional to 49,457.70, 74,169.86 and 16,169.94 is: 24,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,457.70 : 74,169.86 = 16,169.94 : x
  2. Step 2: Convert to fraction form
    49,457.70/74,169.86 = 16,169.94/x
  3. Step 3: Cross multiply
    49,457.70x = 74,169.86 × 16,169.94
  4. Step 4: Simplify right side
    49,457.70x = 1,199,322,105.16
  5. Step 5: Solve for x
    x = 1,199,322,105.16/49,457.70
  6. Step 6: Final answer
    x = 24,249.45

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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.