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Finding the Fourth Proportional to 48,953.67, 73,379.22 and 20,506.87

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Solution

The fourth proportional to 48,953.67, 73,379.22 and 20,506.87 is: 30,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,953.67 : 73,379.22 = 20,506.87 : x
  2. Step 2: Convert to fraction form
    48,953.67/73,379.22 = 20,506.87/x
  3. Step 3: Cross multiply
    48,953.67x = 73,379.22 × 20,506.87
  4. Step 4: Simplify right side
    48,953.67x = 1,504,778,140.06
  5. Step 5: Solve for x
    x = 1,504,778,140.06/48,953.67
  6. Step 6: Final answer
    x = 30,738.82

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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.