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Finding the Fourth Proportional to 49,626, 74,451.14 and 24,677.80

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Solution

The fourth proportional to 49,626, 74,451.14 and 24,677.80 is: 37,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,626 : 74,451.14 = 24,677.80 : x
  2. Step 2: Convert to fraction form
    49,626/74,451.14 = 24,677.80/x
  3. Step 3: Cross multiply
    49,626x = 74,451.14 × 24,677.80
  4. Step 4: Simplify right side
    49,626x = 1,837,290,342.69
  5. Step 5: Solve for x
    x = 1,837,290,342.69/49,626
  6. Step 6: Final answer
    x = 37,022.74

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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.