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Finding the Fourth Proportional to 48,189.75, 66,508.86 and 27,767.85

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Solution

The fourth proportional to 48,189.75, 66,508.86 and 27,767.85 is: 38,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189.75 : 66,508.86 = 27,767.85 : x
  2. Step 2: Convert to fraction form
    48,189.75/66,508.86 = 27,767.85/x
  3. Step 3: Cross multiply
    48,189.75x = 66,508.86 × 27,767.85
  4. Step 4: Simplify right side
    48,189.75x = 1,846,808,048.15
  5. Step 5: Solve for x
    x = 1,846,808,048.15/48,189.75
  6. Step 6: Final answer
    x = 38,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.