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Finding the Fourth Proportional to 49,761, 74,641.77 and 12,825

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Solution

The fourth proportional to 49,761, 74,641.77 and 12,825 is: 19,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,761 : 74,641.77 = 12,825 : x
  2. Step 2: Convert to fraction form
    49,761/74,641.77 = 12,825/x
  3. Step 3: Cross multiply
    49,761x = 74,641.77 × 12,825
  4. Step 4: Simplify right side
    49,761x = 957,280,700.25
  5. Step 5: Solve for x
    x = 957,280,700.25/49,761
  6. Step 6: Final answer
    x = 19,237.57

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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.