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Finding the Fourth Proportional to 48,751.81, 73,127.72 and 11,815.81

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Solution

The fourth proportional to 48,751.81, 73,127.72 and 11,815.81 is: 17,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751.81 : 73,127.72 = 11,815.81 : x
  2. Step 2: Convert to fraction form
    48,751.81/73,127.72 = 11,815.81/x
  3. Step 3: Cross multiply
    48,751.81x = 73,127.72 × 11,815.81
  4. Step 4: Simplify right side
    48,751.81x = 864,063,245.25
  5. Step 5: Solve for x
    x = 864,063,245.25/48,751.81
  6. Step 6: Final answer
    x = 17,723.72

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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.