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Finding the Fourth Proportional to 49,416, 74,131.68 and 16,591.68

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Solution

The fourth proportional to 49,416, 74,131.68 and 16,591.68 is: 24,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 74,131.68 = 16,591.68 : x
  2. Step 2: Convert to fraction form
    49,416/74,131.68 = 16,591.68/x
  3. Step 3: Cross multiply
    49,416x = 74,131.68 × 16,591.68
  4. Step 4: Simplify right side
    49,416x = 1,229,969,112.42
  5. Step 5: Solve for x
    x = 1,229,969,112.42/49,416
  6. Step 6: Final answer
    x = 24,890.10

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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.